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Finding the Fourth Proportional to 515,510.40, 711,385.67 and 286,077.71

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Solution

The fourth proportional to 515,510.40, 711,385.67 and 286,077.71 is: 394,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,510.40 : 711,385.67 = 286,077.71 : x
  2. Step 2: Convert to fraction form
    515,510.40/711,385.67 = 286,077.71/x
  3. Step 3: Cross multiply
    515,510.40x = 711,385.67 × 286,077.71
  4. Step 4: Simplify right side
    515,510.40x = 203,511,578,413.10
  5. Step 5: Solve for x
    x = 203,511,578,413.10/515,510.40
  6. Step 6: Final answer
    x = 394,776.86

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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.