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Finding the Fourth Proportional to 685,200.34, 944,951.70 and 588,373.78

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Solution

The fourth proportional to 685,200.34, 944,951.70 and 588,373.78 is: 811,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,200.34 : 944,951.70 = 588,373.78 : x
  2. Step 2: Convert to fraction form
    685,200.34/944,951.70 = 588,373.78/x
  3. Step 3: Cross multiply
    685,200.34x = 944,951.70 × 588,373.78
  4. Step 4: Simplify right side
    685,200.34x = 555,984,803,646.43
  5. Step 5: Solve for x
    x = 555,984,803,646.43/685,200.34
  6. Step 6: Final answer
    x = 811,419.33

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1.5x scale

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.