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Finding the Fourth Proportional to 410,759.90, 566,041.12 and 314,073.24

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Solution

The fourth proportional to 410,759.90, 566,041.12 and 314,073.24 is: 432,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,759.90 : 566,041.12 = 314,073.24 : x
  2. Step 2: Convert to fraction form
    410,759.90/566,041.12 = 314,073.24/x
  3. Step 3: Cross multiply
    410,759.90x = 566,041.12 × 314,073.24
  4. Step 4: Simplify right side
    410,759.90x = 177,778,368,531.63
  5. Step 5: Solve for x
    x = 177,778,368,531.63/410,759.90
  6. Step 6: Final answer
    x = 432,803.61

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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.