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Finding the Fourth Proportional to 410,390.96, 566,324.76 and 257,511.46

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Solution

The fourth proportional to 410,390.96, 566,324.76 and 257,511.46 is: 355,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,390.96 : 566,324.76 = 257,511.46 : x
  2. Step 2: Convert to fraction form
    410,390.96/566,324.76 = 257,511.46/x
  3. Step 3: Cross multiply
    410,390.96x = 566,324.76 × 257,511.46
  4. Step 4: Simplify right side
    410,390.96x = 145,835,115,781.75
  5. Step 5: Solve for x
    x = 145,835,115,781.75/410,390.96
  6. Step 6: Final answer
    x = 355,356.55

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1.5x scale

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.