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Finding the Fourth Proportional to 519,151.47, 716,427.69 and 289,706.31

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Solution

The fourth proportional to 519,151.47, 716,427.69 and 289,706.31 is: 399,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,151.47 : 716,427.69 = 289,706.31 : x
  2. Step 2: Convert to fraction form
    519,151.47/716,427.69 = 289,706.31/x
  3. Step 3: Cross multiply
    519,151.47x = 716,427.69 × 289,706.31
  4. Step 4: Simplify right side
    519,151.47x = 207,553,622,451.72
  5. Step 5: Solve for x
    x = 207,553,622,451.72/519,151.47
  6. Step 6: Final answer
    x = 399,793.96

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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.