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Finding the Fourth Proportional to 584,785.50, 807,155.19 and 381,343.74

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Solution

The fourth proportional to 584,785.50, 807,155.19 and 381,343.74 is: 526,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,785.50 : 807,155.19 = 381,343.74 : x
  2. Step 2: Convert to fraction form
    584,785.50/807,155.19 = 381,343.74/x
  3. Step 3: Cross multiply
    584,785.50x = 807,155.19 × 381,343.74
  4. Step 4: Simplify right side
    584,785.50x = 307,803,578,915.01
  5. Step 5: Solve for x
    x = 307,803,578,915.01/584,785.50
  6. Step 6: Final answer
    x = 526,352.96

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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.