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Finding the Fourth Proportional to 229,468.48, 316,411.22 and 156,883.20

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Solution

The fourth proportional to 229,468.48, 316,411.22 and 156,883.20 is: 216,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,468.48 : 316,411.22 = 156,883.20 : x
  2. Step 2: Convert to fraction form
    229,468.48/316,411.22 = 156,883.20/x
  3. Step 3: Cross multiply
    229,468.48x = 316,411.22 × 156,883.20
  4. Step 4: Simplify right side
    229,468.48x = 49,639,605,101.71
  5. Step 5: Solve for x
    x = 49,639,605,101.71/229,468.48
  6. Step 6: Final answer
    x = 216,324.28

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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.