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Finding the Fourth Proportional to 337,466, 465,712.80 and 186,572.72

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Solution

The fourth proportional to 337,466, 465,712.80 and 186,572.72 is: 257,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,466 : 465,712.80 = 186,572.72 : x
  2. Step 2: Convert to fraction form
    337,466/465,712.80 = 186,572.72/x
  3. Step 3: Cross multiply
    337,466x = 465,712.80 × 186,572.72
  4. Step 4: Simplify right side
    337,466x = 86,889,303,834.82
  5. Step 5: Solve for x
    x = 86,889,303,834.82/337,466
  6. Step 6: Final answer
    x = 257,475.73

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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.