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Finding the Fourth Proportional to 357,962.32, 493,988.34 and 196,820.20

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Solution

The fourth proportional to 357,962.32, 493,988.34 and 196,820.20 is: 271,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,962.32 : 493,988.34 = 196,820.20 : x
  2. Step 2: Convert to fraction form
    357,962.32/493,988.34 = 196,820.20/x
  3. Step 3: Cross multiply
    357,962.32x = 493,988.34 × 196,820.20
  4. Step 4: Simplify right side
    357,962.32x = 97,226,883,876.47
  5. Step 5: Solve for x
    x = 97,226,883,876.47/357,962.32
  6. Step 6: Final answer
    x = 271,612.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.