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Finding the Fourth Proportional to 474,628.86, 711,946.13 and 194,146.11

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Solution

The fourth proportional to 474,628.86, 711,946.13 and 194,146.11 is: 291,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,628.86 : 711,946.13 = 194,146.11 : x
  2. Step 2: Convert to fraction form
    474,628.86/711,946.13 = 194,146.11/x
  3. Step 3: Cross multiply
    474,628.86x = 711,946.13 × 194,146.11
  4. Step 4: Simplify right side
    474,628.86x = 138,221,570,698.32
  5. Step 5: Solve for x
    x = 138,221,570,698.32/474,628.86
  6. Step 6: Final answer
    x = 291,220.32

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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.