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Finding the Fourth Proportional to 364,319.26, 546,478.40 and 98,080.07

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Solution

The fourth proportional to 364,319.26, 546,478.40 and 98,080.07 is: 147,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,319.26 : 546,478.40 = 98,080.07 : x
  2. Step 2: Convert to fraction form
    364,319.26/546,478.40 = 98,080.07/x
  3. Step 3: Cross multiply
    364,319.26x = 546,478.40 × 98,080.07
  4. Step 4: Simplify right side
    364,319.26x = 53,598,637,238.30
  5. Step 5: Solve for x
    x = 53,598,637,238.30/364,319.26
  6. Step 6: Final answer
    x = 147,119.97

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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.