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Finding the Fourth Proportional to 598,294.94, 897,960.10 and 314,185.40

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Solution

The fourth proportional to 598,294.94, 897,960.10 and 314,185.40 is: 471,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,294.94 : 897,960.10 = 314,185.40 : x
  2. Step 2: Convert to fraction form
    598,294.94/897,960.10 = 314,185.40/x
  3. Step 3: Cross multiply
    598,294.94x = 897,960.10 × 314,185.40
  4. Step 4: Simplify right side
    598,294.94x = 282,125,953,202.54
  5. Step 5: Solve for x
    x = 282,125,953,202.54/598,294.94
  6. Step 6: Final answer
    x = 471,549.96

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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.