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Finding the Fourth Proportional to 549,424.90, 824,230.40 and 189,498.03

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Solution

The fourth proportional to 549,424.90, 824,230.40 and 189,498.03 is: 284,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,424.90 : 824,230.40 = 189,498.03 : x
  2. Step 2: Convert to fraction form
    549,424.90/824,230.40 = 189,498.03/x
  3. Step 3: Cross multiply
    549,424.90x = 824,230.40 × 189,498.03
  4. Step 4: Simplify right side
    549,424.90x = 156,190,037,066.11
  5. Step 5: Solve for x
    x = 156,190,037,066.11/549,424.90
  6. Step 6: Final answer
    x = 284,279.14

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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.