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Finding the Fourth Proportional to 524,713.48, 724,101.26 and 298,359

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Solution

The fourth proportional to 524,713.48, 724,101.26 and 298,359 is: 411,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,713.48 : 724,101.26 = 298,359 : x
  2. Step 2: Convert to fraction form
    524,713.48/724,101.26 = 298,359/x
  3. Step 3: Cross multiply
    524,713.48x = 724,101.26 × 298,359
  4. Step 4: Simplify right side
    524,713.48x = 216,042,127,832.34
  5. Step 5: Solve for x
    x = 216,042,127,832.34/524,713.48
  6. Step 6: Final answer
    x = 411,733.52

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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.