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Finding the Fourth Proportional to 653,318.84, 980,116.78 and 232,593.50

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Solution

The fourth proportional to 653,318.84, 980,116.78 and 232,593.50 is: 348,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,318.84 : 980,116.78 = 232,593.50 : x
  2. Step 2: Convert to fraction form
    653,318.84/980,116.78 = 232,593.50/x
  3. Step 3: Cross multiply
    653,318.84x = 980,116.78 × 232,593.50
  4. Step 4: Simplify right side
    653,318.84x = 227,968,792,268.93
  5. Step 5: Solve for x
    x = 227,968,792,268.93/653,318.84
  6. Step 6: Final answer
    x = 348,939.57

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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.