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Finding the Fourth Proportional to 596,627.32, 823,159.92 and 338,461.42

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Solution

The fourth proportional to 596,627.32, 823,159.92 and 338,461.42 is: 466,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,627.32 : 823,159.92 = 338,461.42 : x
  2. Step 2: Convert to fraction form
    596,627.32/823,159.92 = 338,461.42/x
  3. Step 3: Cross multiply
    596,627.32x = 823,159.92 × 338,461.42
  4. Step 4: Simplify right side
    596,627.32x = 278,607,875,410.29
  5. Step 5: Solve for x
    x = 278,607,875,410.29/596,627.32
  6. Step 6: Final answer
    x = 466,971.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.