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Finding the Fourth Proportional to 472,087.50, 707,616.09 and 232,366.38

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Solution

The fourth proportional to 472,087.50, 707,616.09 and 232,366.38 is: 348,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,087.50 : 707,616.09 = 232,366.38 : x
  2. Step 2: Convert to fraction form
    472,087.50/707,616.09 = 232,366.38/x
  3. Step 3: Cross multiply
    472,087.50x = 707,616.09 × 232,366.38
  4. Step 4: Simplify right side
    472,087.50x = 164,426,189,263.05
  5. Step 5: Solve for x
    x = 164,426,189,263.05/472,087.50
  6. Step 6: Final answer
    x = 348,296.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.