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Finding the Fourth Proportional to 549,781.70, 824,672.55 and 194,831.60

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Solution

The fourth proportional to 549,781.70, 824,672.55 and 194,831.60 is: 292,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,781.70 : 824,672.55 = 194,831.60 : x
  2. Step 2: Convert to fraction form
    549,781.70/824,672.55 = 194,831.60/x
  3. Step 3: Cross multiply
    549,781.70x = 824,672.55 × 194,831.60
  4. Step 4: Simplify right side
    549,781.70x = 160,672,272,392.58
  5. Step 5: Solve for x
    x = 160,672,272,392.58/549,781.70
  6. Step 6: Final answer
    x = 292,247.40

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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.