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Finding the Fourth Proportional to 569,065.91, 785,326.79 and 314,433.50

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Solution

The fourth proportional to 569,065.91, 785,326.79 and 314,433.50 is: 433,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,065.91 : 785,326.79 = 314,433.50 : x
  2. Step 2: Convert to fraction form
    569,065.91/785,326.79 = 314,433.50/x
  3. Step 3: Cross multiply
    569,065.91x = 785,326.79 × 314,433.50
  4. Step 4: Simplify right side
    569,065.91x = 246,933,048,082.92
  5. Step 5: Solve for x
    x = 246,933,048,082.92/569,065.91
  6. Step 6: Final answer
    x = 433,926.98

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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.