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Finding the Fourth Proportional to 502,506.74, 753,598.05 and 165,467.24

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Solution

The fourth proportional to 502,506.74, 753,598.05 and 165,467.24 is: 248,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,506.74 : 753,598.05 = 165,467.24 : x
  2. Step 2: Convert to fraction form
    502,506.74/753,598.05 = 165,467.24/x
  3. Step 3: Cross multiply
    502,506.74x = 753,598.05 × 165,467.24
  4. Step 4: Simplify right side
    502,506.74x = 124,695,789,402.88
  5. Step 5: Solve for x
    x = 124,695,789,402.88/502,506.74
  6. Step 6: Final answer
    x = 248,147.50

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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.