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Finding the Fourth Proportional to 314,935.40, 472,460.70 and 127,965.80

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Solution

The fourth proportional to 314,935.40, 472,460.70 and 127,965.80 is: 191,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.40 : 472,460.70 = 127,965.80 : x
  2. Step 2: Convert to fraction form
    314,935.40/472,460.70 = 127,965.80/x
  3. Step 3: Cross multiply
    314,935.40x = 472,460.70 × 127,965.80
  4. Step 4: Simplify right side
    314,935.40x = 60,458,811,444.06
  5. Step 5: Solve for x
    x = 60,458,811,444.06/314,935.40
  6. Step 6: Final answer
    x = 191,972.10

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1.5x scale

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.