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Finding the Fourth Proportional to 419,410.29, 578,843.28 and 247,376.91

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Solution

The fourth proportional to 419,410.29, 578,843.28 and 247,376.91 is: 341,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,410.29 : 578,843.28 = 247,376.91 : x
  2. Step 2: Convert to fraction form
    419,410.29/578,843.28 = 247,376.91/x
  3. Step 3: Cross multiply
    419,410.29x = 578,843.28 × 247,376.91
  4. Step 4: Simplify right side
    419,410.29x = 143,192,461,980.67
  5. Step 5: Solve for x
    x = 143,192,461,980.67/419,410.29
  6. Step 6: Final answer
    x = 341,413.80

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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.