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Finding the Fourth Proportional to 549,656.79, 824,282.53 and 189,736.12

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Solution

The fourth proportional to 549,656.79, 824,282.53 and 189,736.12 is: 284,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,656.79 : 824,282.53 = 189,736.12 : x
  2. Step 2: Convert to fraction form
    549,656.79/824,282.53 = 189,736.12/x
  3. Step 3: Cross multiply
    549,656.79x = 824,282.53 × 189,736.12
  4. Step 4: Simplify right side
    549,656.79x = 156,396,169,582.00
  5. Step 5: Solve for x
    x = 156,396,169,582.00/549,656.79
  6. Step 6: Final answer
    x = 284,534.23

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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.