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Finding the Fourth Proportional to 713,896.40, 1,071,233.40 and 293,214.80

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Solution

The fourth proportional to 713,896.40, 1,071,233.40 and 293,214.80 is: 439,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,896.40 : 1,071,233.40 = 293,214.80 : x
  2. Step 2: Convert to fraction form
    713,896.40/1,071,233.40 = 293,214.80/x
  3. Step 3: Cross multiply
    713,896.40x = 1,071,233.40 × 293,214.80
  4. Step 4: Simplify right side
    713,896.40x = 314,101,487,134.32
  5. Step 5: Solve for x
    x = 314,101,487,134.32/713,896.40
  6. Step 6: Final answer
    x = 439,981.89

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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.