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Finding the Fourth Proportional to 563,895.92, 845,564 and 179,594.64

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Solution

The fourth proportional to 563,895.92, 845,564 and 179,594.64 is: 269,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,895.92 : 845,564 = 179,594.64 : x
  2. Step 2: Convert to fraction form
    563,895.92/845,564 = 179,594.64/x
  3. Step 3: Cross multiply
    563,895.92x = 845,564 × 179,594.64
  4. Step 4: Simplify right side
    563,895.92x = 151,858,762,176.96
  5. Step 5: Solve for x
    x = 151,858,762,176.96/563,895.92
  6. Step 6: Final answer
    x = 269,302.82

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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.