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Finding the Fourth Proportional to 568,047.60, 783,908.20 and 313,406.24

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Solution

The fourth proportional to 568,047.60, 783,908.20 and 313,406.24 is: 432,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,047.60 : 783,908.20 = 313,406.24 : x
  2. Step 2: Convert to fraction form
    568,047.60/783,908.20 = 313,406.24/x
  3. Step 3: Cross multiply
    568,047.60x = 783,908.20 × 313,406.24
  4. Step 4: Simplify right side
    568,047.60x = 245,681,721,467.17
  5. Step 5: Solve for x
    x = 245,681,721,467.17/568,047.60
  6. Step 6: Final answer
    x = 432,502.00

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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.