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Finding the Fourth Proportional to 549,788.14, 824,423.40 and 212,986.51

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Solution

The fourth proportional to 549,788.14, 824,423.40 and 212,986.51 is: 319,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,788.14 : 824,423.40 = 212,986.51 : x
  2. Step 2: Convert to fraction form
    549,788.14/824,423.40 = 212,986.51/x
  3. Step 3: Cross multiply
    549,788.14x = 824,423.40 × 212,986.51
  4. Step 4: Simplify right side
    549,788.14x = 175,591,062,728.33
  5. Step 5: Solve for x
    x = 175,591,062,728.33/549,788.14
  6. Step 6: Final answer
    x = 319,379.50

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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.