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Finding the Fourth Proportional to 689,435.76, 951,032.64 and 413,722.20

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Solution

The fourth proportional to 689,435.76, 951,032.64 and 413,722.20 is: 570,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,435.76 : 951,032.64 = 413,722.20 : x
  2. Step 2: Convert to fraction form
    689,435.76/951,032.64 = 413,722.20/x
  3. Step 3: Cross multiply
    689,435.76x = 951,032.64 × 413,722.20
  4. Step 4: Simplify right side
    689,435.76x = 393,463,316,092.61
  5. Step 5: Solve for x
    x = 393,463,316,092.61/689,435.76
  6. Step 6: Final answer
    x = 570,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.