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Finding the Fourth Proportional to 656,857.80, 985,545.90 and 257,430.60

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Solution

The fourth proportional to 656,857.80, 985,545.90 and 257,430.60 is: 386,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,857.80 : 985,545.90 = 257,430.60 : x
  2. Step 2: Convert to fraction form
    656,857.80/985,545.90 = 257,430.60/x
  3. Step 3: Cross multiply
    656,857.80x = 985,545.90 × 257,430.60
  4. Step 4: Simplify right side
    656,857.80x = 253,709,672,364.54
  5. Step 5: Solve for x
    x = 253,709,672,364.54/656,857.80
  6. Step 6: Final answer
    x = 386,247.48

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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.