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Finding the Fourth Proportional to 565,402.19, 780,257.54 and 310,769.78

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Solution

The fourth proportional to 565,402.19, 780,257.54 and 310,769.78 is: 428,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,402.19 : 780,257.54 = 310,769.78 : x
  2. Step 2: Convert to fraction form
    565,402.19/780,257.54 = 310,769.78/x
  3. Step 3: Cross multiply
    565,402.19x = 780,257.54 × 310,769.78
  4. Step 4: Simplify right side
    565,402.19x = 242,480,460,924.78
  5. Step 5: Solve for x
    x = 242,480,460,924.78/565,402.19
  6. Step 6: Final answer
    x = 428,863.68

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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.