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Finding the Fourth Proportional to 583,688.29, 805,615.09 and 368,691.61

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Solution

The fourth proportional to 583,688.29, 805,615.09 and 368,691.61 is: 508,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,688.29 : 805,615.09 = 368,691.61 : x
  2. Step 2: Convert to fraction form
    583,688.29/805,615.09 = 368,691.61/x
  3. Step 3: Cross multiply
    583,688.29x = 805,615.09 × 368,691.61
  4. Step 4: Simplify right side
    583,688.29x = 297,023,524,572.40
  5. Step 5: Solve for x
    x = 297,023,524,572.40/583,688.29
  6. Step 6: Final answer
    x = 508,873.54

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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.