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Finding the Fourth Proportional to 532,111.92, 734,122.08 and 409,641.75

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Solution

The fourth proportional to 532,111.92, 734,122.08 and 409,641.75 is: 565,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,111.92 : 734,122.08 = 409,641.75 : x
  2. Step 2: Convert to fraction form
    532,111.92/734,122.08 = 409,641.75/x
  3. Step 3: Cross multiply
    532,111.92x = 734,122.08 × 409,641.75
  4. Step 4: Simplify right side
    532,111.92x = 300,727,053,564.84
  5. Step 5: Solve for x
    x = 300,727,053,564.84/532,111.92
  6. Step 6: Final answer
    x = 565,157.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.