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Finding the Fourth Proportional to 564,070.20, 847,487.70 and 424,102.20

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Solution

The fourth proportional to 564,070.20, 847,487.70 and 424,102.20 is: 637,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,070.20 : 847,487.70 = 424,102.20 : x
  2. Step 2: Convert to fraction form
    564,070.20/847,487.70 = 424,102.20/x
  3. Step 3: Cross multiply
    564,070.20x = 847,487.70 × 424,102.20
  4. Step 4: Simplify right side
    564,070.20x = 359,421,398,042.94
  5. Step 5: Solve for x
    x = 359,421,398,042.94/564,070.20
  6. Step 6: Final answer
    x = 637,192.67

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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.