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Finding the Fourth Proportional to 564,810.16, 847,215.22 and 265,497.34

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Solution

The fourth proportional to 564,810.16, 847,215.22 and 265,497.34 is: 398,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,810.16 : 847,215.22 = 265,497.34 : x
  2. Step 2: Convert to fraction form
    564,810.16/847,215.22 = 265,497.34/x
  3. Step 3: Cross multiply
    564,810.16x = 847,215.22 × 265,497.34
  4. Step 4: Simplify right side
    564,810.16x = 224,933,387,317.52
  5. Step 5: Solve for x
    x = 224,933,387,317.52/564,810.16
  6. Step 6: Final answer
    x = 398,246.00

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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.