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Finding the Fourth Proportional to 523,294.76, 722,087.16 and 293,821.34

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Solution

The fourth proportional to 523,294.76, 722,087.16 and 293,821.34 is: 405,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,294.76 : 722,087.16 = 293,821.34 : x
  2. Step 2: Convert to fraction form
    523,294.76/722,087.16 = 293,821.34/x
  3. Step 3: Cross multiply
    523,294.76x = 722,087.16 × 293,821.34
  4. Step 4: Simplify right side
    523,294.76x = 212,164,616,947.99
  5. Step 5: Solve for x
    x = 212,164,616,947.99/523,294.76
  6. Step 6: Final answer
    x = 405,439.98

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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.