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Finding the Fourth Proportional to 473,223.76, 653,023.20 and 269,268.64

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Solution

The fourth proportional to 473,223.76, 653,023.20 and 269,268.64 is: 371,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,223.76 : 653,023.20 = 269,268.64 : x
  2. Step 2: Convert to fraction form
    473,223.76/653,023.20 = 269,268.64/x
  3. Step 3: Cross multiply
    473,223.76x = 653,023.20 × 269,268.64
  4. Step 4: Simplify right side
    473,223.76x = 175,838,668,952.45
  5. Step 5: Solve for x
    x = 175,838,668,952.45/473,223.76
  6. Step 6: Final answer
    x = 371,576.16

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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.