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Finding the Fourth Proportional to 473,363.16, 653,214.47 and 269,463.71

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Solution

The fourth proportional to 473,363.16, 653,214.47 and 269,463.71 is: 371,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,363.16 : 653,214.47 = 269,463.71 : x
  2. Step 2: Convert to fraction form
    473,363.16/653,214.47 = 269,463.71/x
  3. Step 3: Cross multiply
    473,363.16x = 653,214.47 × 269,463.71
  4. Step 4: Simplify right side
    473,363.16x = 176,017,589,898.49
  5. Step 5: Solve for x
    x = 176,017,589,898.49/473,363.16
  6. Step 6: Final answer
    x = 371,844.72

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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.