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Finding the Fourth Proportional to 417,688.64, 576,410.85 and 226,702.10

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Solution

The fourth proportional to 417,688.64, 576,410.85 and 226,702.10 is: 312,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.64 : 576,410.85 = 226,702.10 : x
  2. Step 2: Convert to fraction form
    417,688.64/576,410.85 = 226,702.10/x
  3. Step 3: Cross multiply
    417,688.64x = 576,410.85 × 226,702.10
  4. Step 4: Simplify right side
    417,688.64x = 130,673,547,275.73
  5. Step 5: Solve for x
    x = 130,673,547,275.73/417,688.64
  6. Step 6: Final answer
    x = 312,849.18

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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.