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Finding the Fourth Proportional to 584,785, 807,154.50 and 381,343.24

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Solution

The fourth proportional to 584,785, 807,154.50 and 381,343.24 is: 526,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,785 : 807,154.50 = 381,343.24 : x
  2. Step 2: Convert to fraction form
    584,785/807,154.50 = 381,343.24/x
  3. Step 3: Cross multiply
    584,785x = 807,154.50 × 381,343.24
  4. Step 4: Simplify right side
    584,785x = 307,802,912,210.58
  5. Step 5: Solve for x
    x = 307,802,912,210.58/584,785
  6. Step 6: Final answer
    x = 526,352.27

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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.