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Finding the Fourth Proportional to 840,398.52, 1,159,758.34 and 458,433.30

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Solution

The fourth proportional to 840,398.52, 1,159,758.34 and 458,433.30 is: 632,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,398.52 : 1,159,758.34 = 458,433.30 : x
  2. Step 2: Convert to fraction form
    840,398.52/1,159,758.34 = 458,433.30/x
  3. Step 3: Cross multiply
    840,398.52x = 1,159,758.34 × 458,433.30
  4. Step 4: Simplify right side
    840,398.52x = 531,671,843,008.72
  5. Step 5: Solve for x
    x = 531,671,843,008.72/840,398.52
  6. Step 6: Final answer
    x = 632,642.53

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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.