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Finding the Fourth Proportional to 549,841.10, 824,502.80 and 213,039.50

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Solution

The fourth proportional to 549,841.10, 824,502.80 and 213,039.50 is: 319,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,841.10 : 824,502.80 = 213,039.50 : x
  2. Step 2: Convert to fraction form
    549,841.10/824,502.80 = 213,039.50/x
  3. Step 3: Cross multiply
    549,841.10x = 824,502.80 × 213,039.50
  4. Step 4: Simplify right side
    549,841.10x = 175,651,664,260.60
  5. Step 5: Solve for x
    x = 175,651,664,260.60/549,841.10
  6. Step 6: Final answer
    x = 319,458.96

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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.