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Finding the Fourth Proportional to 549,712.20, 824,568.30 and 194,762.10

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Solution

The fourth proportional to 549,712.20, 824,568.30 and 194,762.10 is: 292,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,712.20 : 824,568.30 = 194,762.10 : x
  2. Step 2: Convert to fraction form
    549,712.20/824,568.30 = 194,762.10/x
  3. Step 3: Cross multiply
    549,712.20x = 824,568.30 × 194,762.10
  4. Step 4: Simplify right side
    549,712.20x = 160,594,653,701.43
  5. Step 5: Solve for x
    x = 160,594,653,701.43/549,712.20
  6. Step 6: Final answer
    x = 292,143.15

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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.