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Finding the Fourth Proportional to 517,586.73, 714,302.31 and 313,655.49

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Solution

The fourth proportional to 517,586.73, 714,302.31 and 313,655.49 is: 432,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,586.73 : 714,302.31 = 313,655.49 : x
  2. Step 2: Convert to fraction form
    517,586.73/714,302.31 = 313,655.49/x
  3. Step 3: Cross multiply
    517,586.73x = 714,302.31 × 313,655.49
  4. Step 4: Simplify right side
    517,586.73x = 224,044,842,227.39
  5. Step 5: Solve for x
    x = 224,044,842,227.39/517,586.73
  6. Step 6: Final answer
    x = 432,864.35

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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.