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Finding the Fourth Proportional to 473,130.30, 709,695.45 and 305,168.70

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Solution

The fourth proportional to 473,130.30, 709,695.45 and 305,168.70 is: 457,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,130.30 : 709,695.45 = 305,168.70 : x
  2. Step 2: Convert to fraction form
    473,130.30/709,695.45 = 305,168.70/x
  3. Step 3: Cross multiply
    473,130.30x = 709,695.45 × 305,168.70
  4. Step 4: Simplify right side
    473,130.30x = 216,576,837,872.42
  5. Step 5: Solve for x
    x = 216,576,837,872.42/473,130.30
  6. Step 6: Final answer
    x = 457,753.05

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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.