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Finding the Fourth Proportional to 288,532.90, 432,799.35 and 164,116.90

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Solution

The fourth proportional to 288,532.90, 432,799.35 and 164,116.90 is: 246,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,532.90 : 432,799.35 = 164,116.90 : x
  2. Step 2: Convert to fraction form
    288,532.90/432,799.35 = 164,116.90/x
  3. Step 3: Cross multiply
    288,532.90x = 432,799.35 × 164,116.90
  4. Step 4: Simplify right side
    288,532.90x = 71,029,687,644.02
  5. Step 5: Solve for x
    x = 71,029,687,644.02/288,532.90
  6. Step 6: Final answer
    x = 246,175.35

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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.