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Finding the Fourth Proportional to 473,612.78, 653,585.28 and 269,653.16

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Solution

The fourth proportional to 473,612.78, 653,585.28 and 269,653.16 is: 372,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,612.78 : 653,585.28 = 269,653.16 : x
  2. Step 2: Convert to fraction form
    473,612.78/653,585.28 = 269,653.16/x
  3. Step 3: Cross multiply
    473,612.78x = 653,585.28 × 269,653.16
  4. Step 4: Simplify right side
    473,612.78x = 176,241,336,081.49
  5. Step 5: Solve for x
    x = 176,241,336,081.49/473,612.78
  6. Step 6: Final answer
    x = 372,121.16

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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.