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Finding the Fourth Proportional to 532,580.89, 734,979.77 and 314,976.10

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Solution

The fourth proportional to 532,580.89, 734,979.77 and 314,976.10 is: 434,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,580.89 : 734,979.77 = 314,976.10 : x
  2. Step 2: Convert to fraction form
    532,580.89/734,979.77 = 314,976.10/x
  3. Step 3: Cross multiply
    532,580.89x = 734,979.77 × 314,976.10
  4. Step 4: Simplify right side
    532,580.89x = 231,501,058,121.17
  5. Step 5: Solve for x
    x = 231,501,058,121.17/532,580.89
  6. Step 6: Final answer
    x = 434,677.74

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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.