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Finding the Fourth Proportional to 549,077.70, 822,960.45 and 282,701.10

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Solution

The fourth proportional to 549,077.70, 822,960.45 and 282,701.10 is: 423,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,077.70 : 822,960.45 = 282,701.10 : x
  2. Step 2: Convert to fraction form
    549,077.70/822,960.45 = 282,701.10/x
  3. Step 3: Cross multiply
    549,077.70x = 822,960.45 × 282,701.10
  4. Step 4: Simplify right side
    549,077.70x = 232,651,824,471.50
  5. Step 5: Solve for x
    x = 232,651,824,471.50/549,077.70
  6. Step 6: Final answer
    x = 423,713.85

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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.