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Finding the Fourth Proportional to 472,493.32, 709,206.54 and 206,437.48

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Solution

The fourth proportional to 472,493.32, 709,206.54 and 206,437.48 is: 309,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,493.32 : 709,206.54 = 206,437.48 : x
  2. Step 2: Convert to fraction form
    472,493.32/709,206.54 = 206,437.48/x
  3. Step 3: Cross multiply
    472,493.32x = 709,206.54 × 206,437.48
  4. Step 4: Simplify right side
    472,493.32x = 146,406,810,917.12
  5. Step 5: Solve for x
    x = 146,406,810,917.12/472,493.32
  6. Step 6: Final answer
    x = 309,860.07

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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.