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Finding the Fourth Proportional to 532,551.84, 735,016.50 and 314,751.66

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Solution

The fourth proportional to 532,551.84, 735,016.50 and 314,751.66 is: 434,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,551.84 : 735,016.50 = 314,751.66 : x
  2. Step 2: Convert to fraction form
    532,551.84/735,016.50 = 314,751.66/x
  3. Step 3: Cross multiply
    532,551.84x = 735,016.50 × 314,751.66
  4. Step 4: Simplify right side
    532,551.84x = 231,347,663,502.39
  5. Step 5: Solve for x
    x = 231,347,663,502.39/532,551.84
  6. Step 6: Final answer
    x = 434,413.42

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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.