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Finding the Fourth Proportional to 568,397.39, 784,386.32 and 313,746.75

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Solution

The fourth proportional to 568,397.39, 784,386.32 and 313,746.75 is: 432,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,397.39 : 784,386.32 = 313,746.75 : x
  2. Step 2: Convert to fraction form
    568,397.39/784,386.32 = 313,746.75/x
  3. Step 3: Cross multiply
    568,397.39x = 784,386.32 × 313,746.75
  4. Step 4: Simplify right side
    568,397.39x = 246,098,657,075.73
  5. Step 5: Solve for x
    x = 246,098,657,075.73/568,397.39
  6. Step 6: Final answer
    x = 432,969.37

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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.