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Finding the Fourth Proportional to 472,863.42, 709,114.41 and 202,967.10

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Solution

The fourth proportional to 472,863.42, 709,114.41 and 202,967.10 is: 304,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,863.42 : 709,114.41 = 202,967.10 : x
  2. Step 2: Convert to fraction form
    472,863.42/709,114.41 = 202,967.10/x
  3. Step 3: Cross multiply
    472,863.42x = 709,114.41 × 202,967.10
  4. Step 4: Simplify right side
    472,863.42x = 143,926,895,365.91
  5. Step 5: Solve for x
    x = 143,926,895,365.91/472,863.42
  6. Step 6: Final answer
    x = 304,373.08

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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.