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Finding the Fourth Proportional to 472,824.60, 709,334.10 and 157,507.80

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Solution

The fourth proportional to 472,824.60, 709,334.10 and 157,507.80 is: 236,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,824.60 : 709,334.10 = 157,507.80 : x
  2. Step 2: Convert to fraction form
    472,824.60/709,334.10 = 157,507.80/x
  3. Step 3: Cross multiply
    472,824.60x = 709,334.10 × 157,507.80
  4. Step 4: Simplify right side
    472,824.60x = 111,725,653,555.98
  5. Step 5: Solve for x
    x = 111,725,653,555.98/472,824.60
  6. Step 6: Final answer
    x = 236,294.08

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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.