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Finding the Fourth Proportional to 517,663.49, 714,265.80 and 326,566.13

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Solution

The fourth proportional to 517,663.49, 714,265.80 and 326,566.13 is: 450,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,663.49 : 714,265.80 = 326,566.13 : x
  2. Step 2: Convert to fraction form
    517,663.49/714,265.80 = 326,566.13/x
  3. Step 3: Cross multiply
    517,663.49x = 714,265.80 × 326,566.13
  4. Step 4: Simplify right side
    517,663.49x = 233,255,013,301.40
  5. Step 5: Solve for x
    x = 233,255,013,301.40/517,663.49
  6. Step 6: Final answer
    x = 450,591.98

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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.