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Finding the Fourth Proportional to 472,918.60, 709,442.70 and 157,342.60

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Solution

The fourth proportional to 472,918.60, 709,442.70 and 157,342.60 is: 236,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,918.60 : 709,442.70 = 157,342.60 : x
  2. Step 2: Convert to fraction form
    472,918.60/709,442.70 = 157,342.60/x
  3. Step 3: Cross multiply
    472,918.60x = 709,442.70 × 157,342.60
  4. Step 4: Simplify right side
    472,918.60x = 111,625,558,969.02
  5. Step 5: Solve for x
    x = 111,625,558,969.02/472,918.60
  6. Step 6: Final answer
    x = 236,035.46

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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.