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Finding the Fourth Proportional to 421,012.16, 581,005.14 and 230,037.38

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Solution

The fourth proportional to 421,012.16, 581,005.14 and 230,037.38 is: 317,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,012.16 : 581,005.14 = 230,037.38 : x
  2. Step 2: Convert to fraction form
    421,012.16/581,005.14 = 230,037.38/x
  3. Step 3: Cross multiply
    421,012.16x = 581,005.14 × 230,037.38
  4. Step 4: Simplify right side
    421,012.16x = 133,652,900,172.13
  5. Step 5: Solve for x
    x = 133,652,900,172.13/421,012.16
  6. Step 6: Final answer
    x = 317,456.15

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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.