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Finding the Fourth Proportional to 350,988, 526,358.82 and 98,200.58

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Solution

The fourth proportional to 350,988, 526,358.82 and 98,200.58 is: 147,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,988 : 526,358.82 = 98,200.58 : x
  2. Step 2: Convert to fraction form
    350,988/526,358.82 = 98,200.58/x
  3. Step 3: Cross multiply
    350,988x = 526,358.82 × 98,200.58
  4. Step 4: Simplify right side
    350,988x = 51,688,741,412.12
  5. Step 5: Solve for x
    x = 51,688,741,412.12/350,988
  6. Step 6: Final answer
    x = 147,266.41

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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.