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Finding the Fourth Proportional to 472,971.64, 709,501.20 and 188,593.60

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Solution

The fourth proportional to 472,971.64, 709,501.20 and 188,593.60 is: 282,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,971.64 : 709,501.20 = 188,593.60 : x
  2. Step 2: Convert to fraction form
    472,971.64/709,501.20 = 188,593.60/x
  3. Step 3: Cross multiply
    472,971.64x = 709,501.20 × 188,593.60
  4. Step 4: Simplify right side
    472,971.64x = 133,807,385,512.32
  5. Step 5: Solve for x
    x = 133,807,385,512.32/472,971.64
  6. Step 6: Final answer
    x = 282,907.84

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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.