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Finding the Fourth Proportional to 364,632.10, 546,948.12 and 98,392.60

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Solution

The fourth proportional to 364,632.10, 546,948.12 and 98,392.60 is: 147,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,632.10 : 546,948.12 = 98,392.60 : x
  2. Step 2: Convert to fraction form
    364,632.10/546,948.12 = 98,392.60/x
  3. Step 3: Cross multiply
    364,632.10x = 546,948.12 × 98,392.60
  4. Step 4: Simplify right side
    364,632.10x = 53,815,647,591.91
  5. Step 5: Solve for x
    x = 53,815,647,591.91/364,632.10
  6. Step 6: Final answer
    x = 147,588.89

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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.