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Finding the Fourth Proportional to 314,938.32, 472,482 and 125,409.66

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Solution

The fourth proportional to 314,938.32, 472,482 and 125,409.66 is: 188,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938.32 : 472,482 = 125,409.66 : x
  2. Step 2: Convert to fraction form
    314,938.32/472,482 = 125,409.66/x
  3. Step 3: Cross multiply
    314,938.32x = 472,482 × 125,409.66
  4. Step 4: Simplify right side
    314,938.32x = 59,253,806,976.12
  5. Step 5: Solve for x
    x = 59,253,806,976.12/314,938.32
  6. Step 6: Final answer
    x = 188,144.16

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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.