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Finding the Fourth Proportional to 314,928.40, 472,421.40 and 127,901.20

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Solution

The fourth proportional to 314,928.40, 472,421.40 and 127,901.20 is: 191,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928.40 : 472,421.40 = 127,901.20 : x
  2. Step 2: Convert to fraction form
    314,928.40/472,421.40 = 127,901.20/x
  3. Step 3: Cross multiply
    314,928.40x = 472,421.40 × 127,901.20
  4. Step 4: Simplify right side
    314,928.40x = 60,423,263,965.68
  5. Step 5: Solve for x
    x = 60,423,263,965.68/314,928.40
  6. Step 6: Final answer
    x = 191,863.50

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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.