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Finding the Fourth Proportional to 473,065.07, 709,710.60 and 157,524.71

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Solution

The fourth proportional to 473,065.07, 709,710.60 and 157,524.71 is: 236,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,065.07 : 709,710.60 = 157,524.71 : x
  2. Step 2: Convert to fraction form
    473,065.07/709,710.60 = 157,524.71/x
  3. Step 3: Cross multiply
    473,065.07x = 709,710.60 × 157,524.71
  4. Step 4: Simplify right side
    473,065.07x = 111,796,958,223.20
  5. Step 5: Solve for x
    x = 111,796,958,223.20/473,065.07
  6. Step 6: Final answer
    x = 236,324.69

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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.