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Finding the Fourth Proportional to 364,509.75, 546,793.19 and 98,266.20

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Solution

The fourth proportional to 364,509.75, 546,793.19 and 98,266.20 is: 147,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,509.75 : 546,793.19 = 98,266.20 : x
  2. Step 2: Convert to fraction form
    364,509.75/546,793.19 = 98,266.20/x
  3. Step 3: Cross multiply
    364,509.75x = 546,793.19 × 98,266.20
  4. Step 4: Simplify right side
    364,509.75x = 53,731,288,475.85
  5. Step 5: Solve for x
    x = 53,731,288,475.85/364,509.75
  6. Step 6: Final answer
    x = 147,407.00

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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.