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Finding the Fourth Proportional to 233,728.94, 322,545.80 and 126,298.94

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Solution

The fourth proportional to 233,728.94, 322,545.80 and 126,298.94 is: 174,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728.94 : 322,545.80 = 126,298.94 : x
  2. Step 2: Convert to fraction form
    233,728.94/322,545.80 = 126,298.94/x
  3. Step 3: Cross multiply
    233,728.94x = 322,545.80 × 126,298.94
  4. Step 4: Simplify right side
    233,728.94x = 40,737,191,344.47
  5. Step 5: Solve for x
    x = 40,737,191,344.47/233,728.94
  6. Step 6: Final answer
    x = 174,292.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.