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Finding the Fourth Proportional to 564,809.16, 847,213.72 and 265,496.34

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Solution

The fourth proportional to 564,809.16, 847,213.72 and 265,496.34 is: 398,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,809.16 : 847,213.72 = 265,496.34 : x
  2. Step 2: Convert to fraction form
    564,809.16/847,213.72 = 265,496.34/x
  3. Step 3: Cross multiply
    564,809.16x = 847,213.72 × 265,496.34
  4. Step 4: Simplify right side
    564,809.16x = 224,932,141,857.79
  5. Step 5: Solve for x
    x = 224,932,141,857.79/564,809.16
  6. Step 6: Final answer
    x = 398,244.50

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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.