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Finding the Fourth Proportional to 410,473.96, 566,142.24 and 353,209.18

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Solution

The fourth proportional to 410,473.96, 566,142.24 and 353,209.18 is: 487,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,473.96 : 566,142.24 = 353,209.18 : x
  2. Step 2: Convert to fraction form
    410,473.96/566,142.24 = 353,209.18/x
  3. Step 3: Cross multiply
    410,473.96x = 566,142.24 × 353,209.18
  4. Step 4: Simplify right side
    410,473.96x = 199,966,636,353.76
  5. Step 5: Solve for x
    x = 199,966,636,353.76/410,473.96
  6. Step 6: Final answer
    x = 487,160.35

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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.