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Finding the Fourth Proportional to 527,604.57, 727,770.82 and 430,948.89

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Solution

The fourth proportional to 527,604.57, 727,770.82 and 430,948.89 is: 594,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,604.57 : 727,770.82 = 430,948.89 : x
  2. Step 2: Convert to fraction form
    527,604.57/727,770.82 = 430,948.89/x
  3. Step 3: Cross multiply
    527,604.57x = 727,770.82 × 430,948.89
  4. Step 4: Simplify right side
    527,604.57x = 313,632,027,053.39
  5. Step 5: Solve for x
    x = 313,632,027,053.39/527,604.57
  6. Step 6: Final answer
    x = 594,445.24

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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.