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Finding the Fourth Proportional to 569,432.52, 785,816.64 and 343,121.76

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Solution

The fourth proportional to 569,432.52, 785,816.64 and 343,121.76 is: 473,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,432.52 : 785,816.64 = 343,121.76 : x
  2. Step 2: Convert to fraction form
    569,432.52/785,816.64 = 343,121.76/x
  3. Step 3: Cross multiply
    569,432.52x = 785,816.64 × 343,121.76
  4. Step 4: Simplify right side
    569,432.52x = 269,630,788,554.09
  5. Step 5: Solve for x
    x = 269,630,788,554.09/569,432.52
  6. Step 6: Final answer
    x = 473,507.89

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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.