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Finding the Fourth Proportional to 549,842.10, 824,504.30 and 213,040.50

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Solution

The fourth proportional to 549,842.10, 824,504.30 and 213,040.50 is: 319,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,842.10 : 824,504.30 = 213,040.50 : x
  2. Step 2: Convert to fraction form
    549,842.10/824,504.30 = 213,040.50/x
  3. Step 3: Cross multiply
    549,842.10x = 824,504.30 × 213,040.50
  4. Step 4: Simplify right side
    549,842.10x = 175,652,808,324.15
  5. Step 5: Solve for x
    x = 175,652,808,324.15/549,842.10
  6. Step 6: Final answer
    x = 319,460.46

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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.