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Finding the Fourth Proportional to 580,234.16, 869,943 and 224,948.72

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Solution

The fourth proportional to 580,234.16, 869,943 and 224,948.72 is: 337,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,234.16 : 869,943 = 224,948.72 : x
  2. Step 2: Convert to fraction form
    580,234.16/869,943 = 224,948.72/x
  3. Step 3: Cross multiply
    580,234.16x = 869,943 × 224,948.72
  4. Step 4: Simplify right side
    580,234.16x = 195,692,564,322.96
  5. Step 5: Solve for x
    x = 195,692,564,322.96/580,234.16
  6. Step 6: Final answer
    x = 337,264.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.