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Finding the Fourth Proportional to 270,974.40, 406,488.64 and 93,457.92

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Solution

The fourth proportional to 270,974.40, 406,488.64 and 93,457.92 is: 140,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,974.40 : 406,488.64 = 93,457.92 : x
  2. Step 2: Convert to fraction form
    270,974.40/406,488.64 = 93,457.92/x
  3. Step 3: Cross multiply
    270,974.40x = 406,488.64 × 93,457.92
  4. Step 4: Simplify right side
    270,974.40x = 37,989,582,798.03
  5. Step 5: Solve for x
    x = 37,989,582,798.03/270,974.40
  6. Step 6: Final answer
    x = 140,196.21

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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.