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Finding the Fourth Proportional to 517,761.98, 776,281.88 and 229,416.79

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Solution

The fourth proportional to 517,761.98, 776,281.88 and 229,416.79 is: 343,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,761.98 : 776,281.88 = 229,416.79 : x
  2. Step 2: Convert to fraction form
    517,761.98/776,281.88 = 229,416.79/x
  3. Step 3: Cross multiply
    517,761.98x = 776,281.88 × 229,416.79
  4. Step 4: Simplify right side
    517,761.98x = 178,092,097,044.77
  5. Step 5: Solve for x
    x = 178,092,097,044.77/517,761.98
  6. Step 6: Final answer
    x = 343,965.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.