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Finding the Fourth Proportional to 707,801.30, 976,862.22 and 417,494.87

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Solution

The fourth proportional to 707,801.30, 976,862.22 and 417,494.87 is: 576,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,801.30 : 976,862.22 = 417,494.87 : x
  2. Step 2: Convert to fraction form
    707,801.30/976,862.22 = 417,494.87/x
  3. Step 3: Cross multiply
    707,801.30x = 976,862.22 × 417,494.87
  4. Step 4: Simplify right side
    707,801.30x = 407,834,963,459.34
  5. Step 5: Solve for x
    x = 407,834,963,459.34/707,801.30
  6. Step 6: Final answer
    x = 576,199.79

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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.