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Finding the Fourth Proportional to 524,382.16, 723,652.36 and 298,029.20

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Solution

The fourth proportional to 524,382.16, 723,652.36 and 298,029.20 is: 411,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,382.16 : 723,652.36 = 298,029.20 : x
  2. Step 2: Convert to fraction form
    524,382.16/723,652.36 = 298,029.20/x
  3. Step 3: Cross multiply
    524,382.16x = 723,652.36 × 298,029.20
  4. Step 4: Simplify right side
    524,382.16x = 215,669,533,928.91
  5. Step 5: Solve for x
    x = 215,669,533,928.91/524,382.16
  6. Step 6: Final answer
    x = 411,283.13

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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.