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Finding the Fourth Proportional to 565,072.02, 847,255.68 and 265,423.86

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Solution

The fourth proportional to 565,072.02, 847,255.68 and 265,423.86 is: 397,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,072.02 : 847,255.68 = 265,423.86 : x
  2. Step 2: Convert to fraction form
    565,072.02/847,255.68 = 265,423.86/x
  3. Step 3: Cross multiply
    565,072.02x = 847,255.68 × 265,423.86
  4. Step 4: Simplify right side
    565,072.02x = 224,881,872,992.53
  5. Step 5: Solve for x
    x = 224,881,872,992.53/565,072.02
  6. Step 6: Final answer
    x = 397,970.29

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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.