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Finding the Fourth Proportional to 524,242.72, 786,364.92 and 224,699.86

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Solution

The fourth proportional to 524,242.72, 786,364.92 and 224,699.86 is: 337,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,242.72 : 786,364.92 = 224,699.86 : x
  2. Step 2: Convert to fraction form
    524,242.72/786,364.92 = 224,699.86/x
  3. Step 3: Cross multiply
    524,242.72x = 786,364.92 × 224,699.86
  4. Step 4: Simplify right side
    524,242.72x = 176,696,087,432.91
  5. Step 5: Solve for x
    x = 176,696,087,432.91/524,242.72
  6. Step 6: Final answer
    x = 337,050.15

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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.