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Finding the Fourth Proportional to 565,094.56, 846,853.68 and 424,688.80

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Solution

The fourth proportional to 565,094.56, 846,853.68 and 424,688.80 is: 636,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,094.56 : 846,853.68 = 424,688.80 : x
  2. Step 2: Convert to fraction form
    565,094.56/846,853.68 = 424,688.80/x
  3. Step 3: Cross multiply
    565,094.56x = 846,853.68 × 424,688.80
  4. Step 4: Simplify right side
    565,094.56x = 359,649,273,134.78
  5. Step 5: Solve for x
    x = 359,649,273,134.78/565,094.56
  6. Step 6: Final answer
    x = 636,440.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.