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Finding the Fourth Proportional to 473,143.80, 709,715.70 and 305,182.20

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Solution

The fourth proportional to 473,143.80, 709,715.70 and 305,182.20 is: 457,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,143.80 : 709,715.70 = 305,182.20 : x
  2. Step 2: Convert to fraction form
    473,143.80/709,715.70 = 305,182.20/x
  3. Step 3: Cross multiply
    473,143.80x = 709,715.70 × 305,182.20
  4. Step 4: Simplify right side
    473,143.80x = 216,592,598,700.54
  5. Step 5: Solve for x
    x = 216,592,598,700.54/473,143.80
  6. Step 6: Final answer
    x = 457,773.30

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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.