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Finding the Fourth Proportional to 840,865, 1,160,418.30 and 458,916.28

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Solution

The fourth proportional to 840,865, 1,160,418.30 and 458,916.28 is: 633,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,865 : 1,160,418.30 = 458,916.28 : x
  2. Step 2: Convert to fraction form
    840,865/1,160,418.30 = 458,916.28/x
  3. Step 3: Cross multiply
    840,865x = 1,160,418.30 × 458,916.28
  4. Step 4: Simplify right side
    840,865x = 532,534,849,479.92
  5. Step 5: Solve for x
    x = 532,534,849,479.92/840,865
  6. Step 6: Final answer
    x = 633,317.89

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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.