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Finding the Fourth Proportional to 567,200.30, 849,763.65 and 461,446.70

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Solution

The fourth proportional to 567,200.30, 849,763.65 and 461,446.70 is: 691,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,200.30 : 849,763.65 = 461,446.70 : x
  2. Step 2: Convert to fraction form
    567,200.30/849,763.65 = 461,446.70/x
  3. Step 3: Cross multiply
    567,200.30x = 849,763.65 × 461,446.70
  4. Step 4: Simplify right side
    567,200.30x = 392,120,632,072.46
  5. Step 5: Solve for x
    x = 392,120,632,072.46/567,200.30
  6. Step 6: Final answer
    x = 691,326.56

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1.5x scale

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.