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Finding the Fourth Proportional to 410,886.48, 567,012.45 and 229,599.91

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Solution

The fourth proportional to 410,886.48, 567,012.45 and 229,599.91 is: 316,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,886.48 : 567,012.45 = 229,599.91 : x
  2. Step 2: Convert to fraction form
    410,886.48/567,012.45 = 229,599.91/x
  3. Step 3: Cross multiply
    410,886.48x = 567,012.45 × 229,599.91
  4. Step 4: Simplify right side
    410,886.48x = 130,186,006,071.35
  5. Step 5: Solve for x
    x = 130,186,006,071.35/410,886.48
  6. Step 6: Final answer
    x = 316,841.79

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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.