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Finding the Fourth Proportional to 364,218.16, 546,407.48 and 111,500.56

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Solution

The fourth proportional to 364,218.16, 546,407.48 and 111,500.56 is: 167,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,218.16 : 546,407.48 = 111,500.56 : x
  2. Step 2: Convert to fraction form
    364,218.16/546,407.48 = 111,500.56/x
  3. Step 3: Cross multiply
    364,218.16x = 546,407.48 × 111,500.56
  4. Step 4: Simplify right side
    364,218.16x = 60,924,740,008.19
  5. Step 5: Solve for x
    x = 60,924,740,008.19/364,218.16
  6. Step 6: Final answer
    x = 167,275.40

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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.