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Finding the Fourth Proportional to 527,159.49, 727,587.41 and 357,448.29

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Solution

The fourth proportional to 527,159.49, 727,587.41 and 357,448.29 is: 493,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,159.49 : 727,587.41 = 357,448.29 : x
  2. Step 2: Convert to fraction form
    527,159.49/727,587.41 = 357,448.29/x
  3. Step 3: Cross multiply
    527,159.49x = 727,587.41 × 357,448.29
  4. Step 4: Simplify right side
    527,159.49x = 260,074,873,742.79
  5. Step 5: Solve for x
    x = 260,074,873,742.79/527,159.49
  6. Step 6: Final answer
    x = 493,351.40

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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.