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Finding the Fourth Proportional to 410,934.92, 567,088.54 and 229,646.84

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Solution

The fourth proportional to 410,934.92, 567,088.54 and 229,646.84 is: 316,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,934.92 : 567,088.54 = 229,646.84 : x
  2. Step 2: Convert to fraction form
    410,934.92/567,088.54 = 229,646.84/x
  3. Step 3: Cross multiply
    410,934.92x = 567,088.54 × 229,646.84
  4. Step 4: Simplify right side
    410,934.92x = 130,230,091,211.21
  5. Step 5: Solve for x
    x = 130,230,091,211.21/410,934.92
  6. Step 6: Final answer
    x = 316,911.72

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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.