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Finding the Fourth Proportional to 462,001.60, 692,656.80 and 251,876.80

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Solution

The fourth proportional to 462,001.60, 692,656.80 and 251,876.80 is: 377,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,001.60 : 692,656.80 = 251,876.80 : x
  2. Step 2: Convert to fraction form
    462,001.60/692,656.80 = 251,876.80/x
  3. Step 3: Cross multiply
    462,001.60x = 692,656.80 × 251,876.80
  4. Step 4: Simplify right side
    462,001.60x = 174,464,178,282.24
  5. Step 5: Solve for x
    x = 174,464,178,282.24/462,001.60
  6. Step 6: Final answer
    x = 377,626.78

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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.