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Finding the Fourth Proportional to 549,266.60, 822,863.10 and 282,117.80

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Solution

The fourth proportional to 549,266.60, 822,863.10 and 282,117.80 is: 422,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,266.60 : 822,863.10 = 282,117.80 : x
  2. Step 2: Convert to fraction form
    549,266.60/822,863.10 = 282,117.80/x
  3. Step 3: Cross multiply
    549,266.60x = 822,863.10 × 282,117.80
  4. Step 4: Simplify right side
    549,266.60x = 232,144,327,473.18
  5. Step 5: Solve for x
    x = 232,144,327,473.18/549,266.60
  6. Step 6: Final answer
    x = 422,644.17

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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.