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Finding the Fourth Proportional to 474,262.40, 711,328.80 and 141,838.40

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Solution

The fourth proportional to 474,262.40, 711,328.80 and 141,838.40 is: 212,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,262.40 : 711,328.80 = 141,838.40 : x
  2. Step 2: Convert to fraction form
    474,262.40/711,328.80 = 141,838.40/x
  3. Step 3: Cross multiply
    474,262.40x = 711,328.80 × 141,838.40
  4. Step 4: Simplify right side
    474,262.40x = 100,893,738,865.92
  5. Step 5: Solve for x
    x = 100,893,738,865.92/474,262.40
  6. Step 6: Final answer
    x = 212,738.22

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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.