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Finding the Fourth Proportional to 364,413.72, 502,891.70 and 203,264.63

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Solution

The fourth proportional to 364,413.72, 502,891.70 and 203,264.63 is: 280,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,413.72 : 502,891.70 = 203,264.63 : x
  2. Step 2: Convert to fraction form
    364,413.72/502,891.70 = 203,264.63/x
  3. Step 3: Cross multiply
    364,413.72x = 502,891.70 × 203,264.63
  4. Step 4: Simplify right side
    364,413.72x = 102,220,095,330.57
  5. Step 5: Solve for x
    x = 102,220,095,330.57/364,413.72
  6. Step 6: Final answer
    x = 280,505.62

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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.