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Finding the Fourth Proportional to 782,407, 1,079,748.20 and 438,257.68

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Solution

The fourth proportional to 782,407, 1,079,748.20 and 438,257.68 is: 604,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,407 : 1,079,748.20 = 438,257.68 : x
  2. Step 2: Convert to fraction form
    782,407/1,079,748.20 = 438,257.68/x
  3. Step 3: Cross multiply
    782,407x = 1,079,748.20 × 438,257.68
  4. Step 4: Simplify right side
    782,407x = 473,207,941,116.18
  5. Step 5: Solve for x
    x = 473,207,941,116.18/782,407
  6. Step 6: Final answer
    x = 604,810.46

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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.