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Finding the Fourth Proportional to 653,814.18, 978,894.05 and 353,217.78

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Solution

The fourth proportional to 653,814.18, 978,894.05 and 353,217.78 is: 528,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,814.18 : 978,894.05 = 353,217.78 : x
  2. Step 2: Convert to fraction form
    653,814.18/978,894.05 = 353,217.78/x
  3. Step 3: Cross multiply
    653,814.18x = 978,894.05 × 353,217.78
  4. Step 4: Simplify right side
    653,814.18x = 345,762,781,430.12
  5. Step 5: Solve for x
    x = 345,762,781,430.12/653,814.18
  6. Step 6: Final answer
    x = 528,839.53

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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.