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Finding the Fourth Proportional to 549,686.58, 824,376.78 and 194,605.26

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Solution

The fourth proportional to 549,686.58, 824,376.78 and 194,605.26 is: 291,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,686.58 : 824,376.78 = 194,605.26 : x
  2. Step 2: Convert to fraction form
    549,686.58/824,376.78 = 194,605.26/x
  3. Step 3: Cross multiply
    549,686.58x = 824,376.78 × 194,605.26
  4. Step 4: Simplify right side
    549,686.58x = 160,428,057,609.86
  5. Step 5: Solve for x
    x = 160,428,057,609.86/549,686.58
  6. Step 6: Final answer
    x = 291,853.69

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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.