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Finding the Fourth Proportional to 462,997.55, 697,966.58 and 432,135.23

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Solution

The fourth proportional to 462,997.55, 697,966.58 and 432,135.23 is: 651,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,997.55 : 697,966.58 = 432,135.23 : x
  2. Step 2: Convert to fraction form
    462,997.55/697,966.58 = 432,135.23/x
  3. Step 3: Cross multiply
    462,997.55x = 697,966.58 × 432,135.23
  4. Step 4: Simplify right side
    462,997.55x = 301,615,942,930.10
  5. Step 5: Solve for x
    x = 301,615,942,930.10/462,997.55
  6. Step 6: Final answer
    x = 651,441.78

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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.