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Finding the Fourth Proportional to 472,864.42, 709,115.91 and 202,968.10

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Solution

The fourth proportional to 472,864.42, 709,115.91 and 202,968.10 is: 304,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,864.42 : 709,115.91 = 202,968.10 : x
  2. Step 2: Convert to fraction form
    472,864.42/709,115.91 = 202,968.10/x
  3. Step 3: Cross multiply
    472,864.42x = 709,115.91 × 202,968.10
  4. Step 4: Simplify right side
    472,864.42x = 143,927,908,932.47
  5. Step 5: Solve for x
    x = 143,927,908,932.47/472,864.42
  6. Step 6: Final answer
    x = 304,374.58

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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.