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Finding the Fourth Proportional to 549,617.76, 824,428.49 and 194,642.15

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Solution

The fourth proportional to 549,617.76, 824,428.49 and 194,642.15 is: 291,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,617.76 : 824,428.49 = 194,642.15 : x
  2. Step 2: Convert to fraction form
    549,617.76/824,428.49 = 194,642.15/x
  3. Step 3: Cross multiply
    549,617.76x = 824,428.49 × 194,642.15
  4. Step 4: Simplify right side
    549,617.76x = 160,468,528,719.50
  5. Step 5: Solve for x
    x = 160,468,528,719.50/549,617.76
  6. Step 6: Final answer
    x = 291,963.87

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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.