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Finding the Fourth Proportional to 463,008.56, 697,983.16 and 432,146.24

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Solution

The fourth proportional to 463,008.56, 697,983.16 and 432,146.24 is: 651,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,008.56 : 697,983.16 = 432,146.24 : x
  2. Step 2: Convert to fraction form
    463,008.56/697,983.16 = 432,146.24/x
  3. Step 3: Cross multiply
    463,008.56x = 697,983.16 × 432,146.24
  4. Step 4: Simplify right side
    463,008.56x = 301,630,798,177.32
  5. Step 5: Solve for x
    x = 301,630,798,177.32/463,008.56
  6. Step 6: Final answer
    x = 651,458.36

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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.