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Finding the Fourth Proportional to 398,322.72, 597,594.96 and 173,703.06

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Solution

The fourth proportional to 398,322.72, 597,594.96 and 173,703.06 is: 260,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,322.72 : 597,594.96 = 173,703.06 : x
  2. Step 2: Convert to fraction form
    398,322.72/597,594.96 = 173,703.06/x
  3. Step 3: Cross multiply
    398,322.72x = 597,594.96 × 173,703.06
  4. Step 4: Simplify right side
    398,322.72x = 103,804,073,192.58
  5. Step 5: Solve for x
    x = 103,804,073,192.58/398,322.72
  6. Step 6: Final answer
    x = 260,602.94

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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.