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Finding the Fourth Proportional to 364,331.42, 546,435.32 and 98,032.58

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Solution

The fourth proportional to 364,331.42, 546,435.32 and 98,032.58 is: 147,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,331.42 : 546,435.32 = 98,032.58 : x
  2. Step 2: Convert to fraction form
    364,331.42/546,435.32 = 98,032.58/x
  3. Step 3: Cross multiply
    364,331.42x = 546,435.32 × 98,032.58
  4. Step 4: Simplify right side
    364,331.42x = 53,568,463,049.52
  5. Step 5: Solve for x
    x = 53,568,463,049.52/364,331.42
  6. Step 6: Final answer
    x = 147,032.24

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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.