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Finding the Fourth Proportional to 472,276.80, 707,954.40 and 422,510.40

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Solution

The fourth proportional to 472,276.80, 707,954.40 and 422,510.40 is: 633,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,276.80 : 707,954.40 = 422,510.40 : x
  2. Step 2: Convert to fraction form
    472,276.80/707,954.40 = 422,510.40/x
  3. Step 3: Cross multiply
    472,276.80x = 707,954.40 × 422,510.40
  4. Step 4: Simplify right side
    472,276.80x = 299,118,096,725.76
  5. Step 5: Solve for x
    x = 299,118,096,725.76/472,276.80
  6. Step 6: Final answer
    x = 633,353.36

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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.