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Finding the Fourth Proportional to 473,218.98, 709,941.46 and 157,678.62

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Solution

The fourth proportional to 473,218.98, 709,941.46 and 157,678.62 is: 236,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,218.98 : 709,941.46 = 157,678.62 : x
  2. Step 2: Convert to fraction form
    473,218.98/709,941.46 = 157,678.62/x
  3. Step 3: Cross multiply
    473,218.98x = 709,941.46 × 157,678.62
  4. Step 4: Simplify right side
    473,218.98x = 111,942,589,693.59
  5. Step 5: Solve for x
    x = 111,942,589,693.59/473,218.98
  6. Step 6: Final answer
    x = 236,555.58

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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.