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Finding the Fourth Proportional to 463,041.54, 698,032.98 and 432,179.30

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Solution

The fourth proportional to 463,041.54, 698,032.98 and 432,179.30 is: 651,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,041.54 : 698,032.98 = 432,179.30 : x
  2. Step 2: Convert to fraction form
    463,041.54/698,032.98 = 432,179.30/x
  3. Step 3: Cross multiply
    463,041.54x = 698,032.98 × 432,179.30
  4. Step 4: Simplify right side
    463,041.54x = 301,675,402,512.42
  5. Step 5: Solve for x
    x = 301,675,402,512.42/463,041.54
  6. Step 6: Final answer
    x = 651,508.29

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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.