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Finding the Fourth Proportional to 527,761.50, 728,356.95 and 289,343.58

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Solution

The fourth proportional to 527,761.50, 728,356.95 and 289,343.58 is: 399,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,761.50 : 728,356.95 = 289,343.58 : x
  2. Step 2: Convert to fraction form
    527,761.50/728,356.95 = 289,343.58/x
  3. Step 3: Cross multiply
    527,761.50x = 728,356.95 × 289,343.58
  4. Step 4: Simplify right side
    527,761.50x = 210,745,407,430.88
  5. Step 5: Solve for x
    x = 210,745,407,430.88/527,761.50
  6. Step 6: Final answer
    x = 399,319.40

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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.