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Finding the Fourth Proportional to 473,585.63, 653,578.32 and 269,654.36

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Solution

The fourth proportional to 473,585.63, 653,578.32 and 269,654.36 is: 372,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,585.63 : 653,578.32 = 269,654.36 : x
  2. Step 2: Convert to fraction form
    473,585.63/653,578.32 = 269,654.36/x
  3. Step 3: Cross multiply
    473,585.63x = 653,578.32 × 269,654.36
  4. Step 4: Simplify right side
    473,585.63x = 176,240,240,321.58
  5. Step 5: Solve for x
    x = 176,240,240,321.58/473,585.63
  6. Step 6: Final answer
    x = 372,140.18

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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.