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Finding the Fourth Proportional to 460,413.08, 635,285.85 and 256,458.80

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Solution

The fourth proportional to 460,413.08, 635,285.85 and 256,458.80 is: 353,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,413.08 : 635,285.85 = 256,458.80 : x
  2. Step 2: Convert to fraction form
    460,413.08/635,285.85 = 256,458.80/x
  3. Step 3: Cross multiply
    460,413.08x = 635,285.85 × 256,458.80
  4. Step 4: Simplify right side
    460,413.08x = 162,924,646,747.98
  5. Step 5: Solve for x
    x = 162,924,646,747.98/460,413.08
  6. Step 6: Final answer
    x = 353,866.24

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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.