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Finding the Fourth Proportional to 563,766.32, 845,559.49 and 164,313.65

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Solution

The fourth proportional to 563,766.32, 845,559.49 and 164,313.65 is: 246,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,766.32 : 845,559.49 = 164,313.65 : x
  2. Step 2: Convert to fraction form
    563,766.32/845,559.49 = 164,313.65/x
  3. Step 3: Cross multiply
    563,766.32x = 845,559.49 × 164,313.65
  4. Step 4: Simplify right side
    563,766.32x = 138,936,966,094.04
  5. Step 5: Solve for x
    x = 138,936,966,094.04/563,766.32
  6. Step 6: Final answer
    x = 246,444.25

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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.