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Finding the Fourth Proportional to 364,513.13, 546,798.24 and 98,269.57

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Solution

The fourth proportional to 364,513.13, 546,798.24 and 98,269.57 is: 147,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,513.13 : 546,798.24 = 98,269.57 : x
  2. Step 2: Convert to fraction form
    364,513.13/546,798.24 = 98,269.57/x
  3. Step 3: Cross multiply
    364,513.13x = 546,798.24 × 98,269.57
  4. Step 4: Simplify right side
    364,513.13x = 53,733,627,921.56
  5. Step 5: Solve for x
    x = 53,733,627,921.56/364,513.13
  6. Step 6: Final answer
    x = 147,412.05

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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.