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Finding the Fourth Proportional to 411,707.06, 568,155.65 and 230,418.98

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Solution

The fourth proportional to 411,707.06, 568,155.65 and 230,418.98 is: 317,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,707.06 : 568,155.65 = 230,418.98 : x
  2. Step 2: Convert to fraction form
    411,707.06/568,155.65 = 230,418.98/x
  3. Step 3: Cross multiply
    411,707.06x = 568,155.65 × 230,418.98
  4. Step 4: Simplify right side
    411,707.06x = 130,913,842,513.46
  5. Step 5: Solve for x
    x = 130,913,842,513.46/411,707.06
  6. Step 6: Final answer
    x = 317,978.14

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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.