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Finding the Fourth Proportional to 614,583.30, 847,823.49 and 410,684.28

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Solution

The fourth proportional to 614,583.30, 847,823.49 and 410,684.28 is: 566,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,583.30 : 847,823.49 = 410,684.28 : x
  2. Step 2: Convert to fraction form
    614,583.30/847,823.49 = 410,684.28/x
  3. Step 3: Cross multiply
    614,583.30x = 847,823.49 × 410,684.28
  4. Step 4: Simplify right side
    614,583.30x = 348,187,779,557.74
  5. Step 5: Solve for x
    x = 348,187,779,557.74/614,583.30
  6. Step 6: Final answer
    x = 566,542.86

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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.