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Finding the Fourth Proportional to 474,510.71, 711,766.06 and 208,273.53

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Solution

The fourth proportional to 474,510.71, 711,766.06 and 208,273.53 is: 312,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,510.71 : 711,766.06 = 208,273.53 : x
  2. Step 2: Convert to fraction form
    474,510.71/711,766.06 = 208,273.53/x
  3. Step 3: Cross multiply
    474,510.71x = 711,766.06 × 208,273.53
  4. Step 4: Simplify right side
    474,510.71x = 148,242,025,250.19
  5. Step 5: Solve for x
    x = 148,242,025,250.19/474,510.71
  6. Step 6: Final answer
    x = 312,410.29

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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.