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Finding the Fourth Proportional to 473,145.30, 652,853.17 and 269,184.31

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Solution

The fourth proportional to 473,145.30, 652,853.17 and 269,184.31 is: 371,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,145.30 : 652,853.17 = 269,184.31 : x
  2. Step 2: Convert to fraction form
    473,145.30/652,853.17 = 269,184.31/x
  3. Step 3: Cross multiply
    473,145.30x = 652,853.17 × 269,184.31
  4. Step 4: Simplify right side
    473,145.30x = 175,737,830,960.25
  5. Step 5: Solve for x
    x = 175,737,830,960.25/473,145.30
  6. Step 6: Final answer
    x = 371,424.66

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1.5x scale

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.