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Finding the Fourth Proportional to 421,375.38, 581,494.05 and 230,386.74

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Solution

The fourth proportional to 421,375.38, 581,494.05 and 230,386.74 is: 317,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,375.38 : 581,494.05 = 230,386.74 : x
  2. Step 2: Convert to fraction form
    421,375.38/581,494.05 = 230,386.74/x
  3. Step 3: Cross multiply
    421,375.38x = 581,494.05 × 230,386.74
  4. Step 4: Simplify right side
    421,375.38x = 133,968,518,508.90
  5. Step 5: Solve for x
    x = 133,968,518,508.90/421,375.38
  6. Step 6: Final answer
    x = 317,931.53

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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.