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Finding the Fourth Proportional to 421,248.38, 581,322.78 and 230,262.53

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Solution

The fourth proportional to 421,248.38, 581,322.78 and 230,262.53 is: 317,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,248.38 : 581,322.78 = 230,262.53 : x
  2. Step 2: Convert to fraction form
    421,248.38/581,322.78 = 230,262.53/x
  3. Step 3: Cross multiply
    421,248.38x = 581,322.78 × 230,262.53
  4. Step 4: Simplify right side
    421,248.38x = 133,856,851,162.82
  5. Step 5: Solve for x
    x = 133,856,851,162.82/421,248.38
  6. Step 6: Final answer
    x = 317,762.30

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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.