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Finding the Fourth Proportional to 569,045.94, 785,314.89 and 314,391.66

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Solution

The fourth proportional to 569,045.94, 785,314.89 and 314,391.66 is: 433,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,045.94 : 785,314.89 = 314,391.66 : x
  2. Step 2: Convert to fraction form
    569,045.94/785,314.89 = 314,391.66/x
  3. Step 3: Cross multiply
    569,045.94x = 785,314.89 × 314,391.66
  4. Step 4: Simplify right side
    569,045.94x = 246,896,451,889.82
  5. Step 5: Solve for x
    x = 246,896,451,889.82/569,045.94
  6. Step 6: Final answer
    x = 433,877.89

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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.