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Finding the Fourth Proportional to 473,283.20, 709,924.80 and 140,859.20

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Solution

The fourth proportional to 473,283.20, 709,924.80 and 140,859.20 is: 211,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,283.20 : 709,924.80 = 140,859.20 : x
  2. Step 2: Convert to fraction form
    473,283.20/709,924.80 = 140,859.20/x
  3. Step 3: Cross multiply
    473,283.20x = 709,924.80 × 140,859.20
  4. Step 4: Simplify right side
    473,283.20x = 99,999,435,838.54
  5. Step 5: Solve for x
    x = 99,999,435,838.54/473,283.20
  6. Step 6: Final answer
    x = 211,288.79

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.