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Finding the Fourth Proportional to 501,767.30, 692,413.58 and 297,827.12

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Solution

The fourth proportional to 501,767.30, 692,413.58 and 297,827.12 is: 410,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,767.30 : 692,413.58 = 297,827.12 : x
  2. Step 2: Convert to fraction form
    501,767.30/692,413.58 = 297,827.12/x
  3. Step 3: Cross multiply
    501,767.30x = 692,413.58 × 297,827.12
  4. Step 4: Simplify right side
    501,767.30x = 206,219,542,380.29
  5. Step 5: Solve for x
    x = 206,219,542,380.29/501,767.30
  6. Step 6: Final answer
    x = 410,986.41

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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.