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Finding the Fourth Proportional to 502,002.24, 753,297.12 and 186,676.80

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Solution

The fourth proportional to 502,002.24, 753,297.12 and 186,676.80 is: 280,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,002.24 : 753,297.12 = 186,676.80 : x
  2. Step 2: Convert to fraction form
    502,002.24/753,297.12 = 186,676.80/x
  3. Step 3: Cross multiply
    502,002.24x = 753,297.12 × 186,676.80
  4. Step 4: Simplify right side
    502,002.24x = 140,623,095,810.82
  5. Step 5: Solve for x
    x = 140,623,095,810.82/502,002.24
  6. Step 6: Final answer
    x = 280,124.44

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1.5x scale

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.