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Finding the Fourth Proportional to 296,413.84, 409,089.72 and 169,114.24

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Solution

The fourth proportional to 296,413.84, 409,089.72 and 169,114.24 is: 233,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,413.84 : 409,089.72 = 169,114.24 : x
  2. Step 2: Convert to fraction form
    296,413.84/409,089.72 = 169,114.24/x
  3. Step 3: Cross multiply
    296,413.84x = 409,089.72 × 169,114.24
  4. Step 4: Simplify right side
    296,413.84x = 69,182,897,089.61
  5. Step 5: Solve for x
    x = 69,182,897,089.61/296,413.84
  6. Step 6: Final answer
    x = 233,399.69

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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.