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Finding the Fourth Proportional to 586,397.47, 809,223.04 and 331,748.66

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Solution

The fourth proportional to 586,397.47, 809,223.04 and 331,748.66 is: 457,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,397.47 : 809,223.04 = 331,748.66 : x
  2. Step 2: Convert to fraction form
    586,397.47/809,223.04 = 331,748.66/x
  3. Step 3: Cross multiply
    586,397.47x = 809,223.04 × 331,748.66
  4. Step 4: Simplify right side
    586,397.47x = 268,458,655,115.01
  5. Step 5: Solve for x
    x = 268,458,655,115.01/586,397.47
  6. Step 6: Final answer
    x = 457,810.05

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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.