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Finding the Fourth Proportional to 473,065.29, 709,710.93 and 157,524.93

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Solution

The fourth proportional to 473,065.29, 709,710.93 and 157,524.93 is: 236,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,065.29 : 709,710.93 = 157,524.93 : x
  2. Step 2: Convert to fraction form
    473,065.29/709,710.93 = 157,524.93/x
  3. Step 3: Cross multiply
    473,065.29x = 709,710.93 × 157,524.93
  4. Step 4: Simplify right side
    473,065.29x = 111,797,164,568.49
  5. Step 5: Solve for x
    x = 111,797,164,568.49/473,065.29
  6. Step 6: Final answer
    x = 236,325.02

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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.