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Finding the Fourth Proportional to 473,160.72, 709,854 and 157,620.24

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Solution

The fourth proportional to 473,160.72, 709,854 and 157,620.24 is: 236,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,160.72 : 709,854 = 157,620.24 : x
  2. Step 2: Convert to fraction form
    473,160.72/709,854 = 157,620.24/x
  3. Step 3: Cross multiply
    473,160.72x = 709,854 × 157,620.24
  4. Step 4: Simplify right side
    473,160.72x = 111,887,357,844.96
  5. Step 5: Solve for x
    x = 111,887,357,844.96/473,160.72
  6. Step 6: Final answer
    x = 236,467.98

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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.