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Finding the Fourth Proportional to 549,771.06, 823,951.88 and 478,397.10

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Solution

The fourth proportional to 549,771.06, 823,951.88 and 478,397.10 is: 716,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,771.06 : 823,951.88 = 478,397.10 : x
  2. Step 2: Convert to fraction form
    549,771.06/823,951.88 = 478,397.10/x
  3. Step 3: Cross multiply
    549,771.06x = 823,951.88 × 478,397.10
  4. Step 4: Simplify right side
    549,771.06x = 394,176,189,931.55
  5. Step 5: Solve for x
    x = 394,176,189,931.55/549,771.06
  6. Step 6: Final answer
    x = 716,982.43

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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.