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Finding the Fourth Proportional to 298,177.16, 411,636.87 and 230,041.17

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Solution

The fourth proportional to 298,177.16, 411,636.87 and 230,041.17 is: 317,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,177.16 : 411,636.87 = 230,041.17 : x
  2. Step 2: Convert to fraction form
    298,177.16/411,636.87 = 230,041.17/x
  3. Step 3: Cross multiply
    298,177.16x = 411,636.87 × 230,041.17
  4. Step 4: Simplify right side
    298,177.16x = 94,693,427,189.94
  5. Step 5: Solve for x
    x = 94,693,427,189.94/298,177.16
  6. Step 6: Final answer
    x = 317,574.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.