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Finding the Fourth Proportional to 314,807.28, 472,222.44 and 127,814.64

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Solution

The fourth proportional to 314,807.28, 472,222.44 and 127,814.64 is: 191,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,807.28 : 472,222.44 = 127,814.64 : x
  2. Step 2: Convert to fraction form
    314,807.28/472,222.44 = 127,814.64/x
  3. Step 3: Cross multiply
    314,807.28x = 472,222.44 × 127,814.64
  4. Step 4: Simplify right side
    314,807.28x = 60,356,941,168.52
  5. Step 5: Solve for x
    x = 60,356,941,168.52/314,807.28
  6. Step 6: Final answer
    x = 191,726.64

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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.