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Finding the Fourth Proportional to 463,006.56, 697,980.15 and 432,144.24

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Solution

The fourth proportional to 463,006.56, 697,980.15 and 432,144.24 is: 651,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,006.56 : 697,980.15 = 432,144.24 : x
  2. Step 2: Convert to fraction form
    463,006.56/697,980.15 = 432,144.24/x
  3. Step 3: Cross multiply
    463,006.56x = 697,980.15 × 432,144.24
  4. Step 4: Simplify right side
    463,006.56x = 301,628,101,456.84
  5. Step 5: Solve for x
    x = 301,628,101,456.84/463,006.56
  6. Step 6: Final answer
    x = 651,455.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.