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Finding the Fourth Proportional to 474,718.30, 711,585.36 and 296,816.78

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Solution

The fourth proportional to 474,718.30, 711,585.36 and 296,816.78 is: 444,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,718.30 : 711,585.36 = 296,816.78 : x
  2. Step 2: Convert to fraction form
    474,718.30/711,585.36 = 296,816.78/x
  3. Step 3: Cross multiply
    474,718.30x = 711,585.36 × 296,816.78
  4. Step 4: Simplify right side
    474,718.30x = 211,210,475,250.34
  5. Step 5: Solve for x
    x = 211,210,475,250.34/474,718.30
  6. Step 6: Final answer
    x = 444,917.49

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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.