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Finding the Fourth Proportional to 549,414.96, 823,952.88 and 194,347.32

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Solution

The fourth proportional to 549,414.96, 823,952.88 and 194,347.32 is: 291,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,414.96 : 823,952.88 = 194,347.32 : x
  2. Step 2: Convert to fraction form
    549,414.96/823,952.88 = 194,347.32/x
  3. Step 3: Cross multiply
    549,414.96x = 823,952.88 × 194,347.32
  4. Step 4: Simplify right side
    549,414.96x = 160,133,034,034.28
  5. Step 5: Solve for x
    x = 160,133,034,034.28/549,414.96
  6. Step 6: Final answer
    x = 291,461.00

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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.