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Finding the Fourth Proportional to 473,002.80, 709,504.20 and 140,578.80

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Solution

The fourth proportional to 473,002.80, 709,504.20 and 140,578.80 is: 210,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,002.80 : 709,504.20 = 140,578.80 : x
  2. Step 2: Convert to fraction form
    473,002.80/709,504.20 = 140,578.80/x
  3. Step 3: Cross multiply
    473,002.80x = 709,504.20 × 140,578.80
  4. Step 4: Simplify right side
    473,002.80x = 99,741,249,030.96
  5. Step 5: Solve for x
    x = 99,741,249,030.96/473,002.80
  6. Step 6: Final answer
    x = 210,868.20

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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.