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Finding the Fourth Proportional to 758,275.28, 1,046,420.28 and 414,116

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Solution

The fourth proportional to 758,275.28, 1,046,420.28 and 414,116 is: 571,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,275.28 : 1,046,420.28 = 414,116 : x
  2. Step 2: Convert to fraction form
    758,275.28/1,046,420.28 = 414,116/x
  3. Step 3: Cross multiply
    758,275.28x = 1,046,420.28 × 414,116
  4. Step 4: Simplify right side
    758,275.28x = 433,339,380,672.48
  5. Step 5: Solve for x
    x = 433,339,380,672.48/758,275.28
  6. Step 6: Final answer
    x = 571,480.29

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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.