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Finding the Fourth Proportional to 569,107.84, 785,368.56 and 314,456.80

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Solution

The fourth proportional to 569,107.84, 785,368.56 and 314,456.80 is: 433,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,107.84 : 785,368.56 = 314,456.80 : x
  2. Step 2: Convert to fraction form
    569,107.84/785,368.56 = 314,456.80/x
  3. Step 3: Cross multiply
    569,107.84x = 785,368.56 × 314,456.80
  4. Step 4: Simplify right side
    569,107.84x = 246,964,484,198.21
  5. Step 5: Solve for x
    x = 246,964,484,198.21/569,107.84
  6. Step 6: Final answer
    x = 433,950.24

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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.