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Finding the Fourth Proportional to 524,443.60, 723,689.16 and 298,037.20

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Solution

The fourth proportional to 524,443.60, 723,689.16 and 298,037.20 is: 411,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,443.60 : 723,689.16 = 298,037.20 : x
  2. Step 2: Convert to fraction form
    524,443.60/723,689.16 = 298,037.20/x
  3. Step 3: Cross multiply
    524,443.60x = 723,689.16 × 298,037.20
  4. Step 4: Simplify right side
    524,443.60x = 215,686,290,916.75
  5. Step 5: Solve for x
    x = 215,686,290,916.75/524,443.60
  6. Step 6: Final answer
    x = 411,266.89

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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.