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Finding the Fourth Proportional to 472,716.50, 709,080.93 and 157,173.41

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Solution

The fourth proportional to 472,716.50, 709,080.93 and 157,173.41 is: 235,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,716.50 : 709,080.93 = 157,173.41 : x
  2. Step 2: Convert to fraction form
    472,716.50/709,080.93 = 157,173.41/x
  3. Step 3: Cross multiply
    472,716.50x = 709,080.93 × 157,173.41
  4. Step 4: Simplify right side
    472,716.50x = 111,448,663,402.80
  5. Step 5: Solve for x
    x = 111,448,663,402.80/472,716.50
  6. Step 6: Final answer
    x = 235,762.16

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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.