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Finding the Fourth Proportional to 569,137.59, 785,379.04 and 314,472.38

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Solution

The fourth proportional to 569,137.59, 785,379.04 and 314,472.38 is: 433,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,137.59 : 785,379.04 = 314,472.38 : x
  2. Step 2: Convert to fraction form
    569,137.59/785,379.04 = 314,472.38/x
  3. Step 3: Cross multiply
    569,137.59x = 785,379.04 × 314,472.38
  4. Step 4: Simplify right side
    569,137.59x = 246,980,011,197.84
  5. Step 5: Solve for x
    x = 246,980,011,197.84/569,137.59
  6. Step 6: Final answer
    x = 433,954.84

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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.