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Finding the Fourth Proportional to 517,663.92, 714,266.40 and 326,566.56

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Solution

The fourth proportional to 517,663.92, 714,266.40 and 326,566.56 is: 450,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,663.92 : 714,266.40 = 326,566.56 : x
  2. Step 2: Convert to fraction form
    517,663.92/714,266.40 = 326,566.56/x
  3. Step 3: Cross multiply
    517,663.92x = 714,266.40 × 326,566.56
  4. Step 4: Simplify right side
    517,663.92x = 233,255,521,171.58
  5. Step 5: Solve for x
    x = 233,255,521,171.58/517,663.92
  6. Step 6: Final answer
    x = 450,592.58

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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.