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Finding the Fourth Proportional to 522,856.38, 721,541.74 and 296,501.88

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Solution

The fourth proportional to 522,856.38, 721,541.74 and 296,501.88 is: 409,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,856.38 : 721,541.74 = 296,501.88 : x
  2. Step 2: Convert to fraction form
    522,856.38/721,541.74 = 296,501.88/x
  3. Step 3: Cross multiply
    522,856.38x = 721,541.74 × 296,501.88
  4. Step 4: Simplify right side
    522,856.38x = 213,938,482,408.47
  5. Step 5: Solve for x
    x = 213,938,482,408.47/522,856.38
  6. Step 6: Final answer
    x = 409,172.56

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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.