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Finding the Fourth Proportional to 517,930.17, 714,853.92 and 348,065.88

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Solution

The fourth proportional to 517,930.17, 714,853.92 and 348,065.88 is: 480,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,930.17 : 714,853.92 = 348,065.88 : x
  2. Step 2: Convert to fraction form
    517,930.17/714,853.92 = 348,065.88/x
  3. Step 3: Cross multiply
    517,930.17x = 714,853.92 × 348,065.88
  4. Step 4: Simplify right side
    517,930.17x = 248,816,257,360.79
  5. Step 5: Solve for x
    x = 248,816,257,360.79/517,930.17
  6. Step 6: Final answer
    x = 480,405.03

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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.