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Finding the Fourth Proportional to 280,904.65, 421,398.93 and 103,398.16

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Solution

The fourth proportional to 280,904.65, 421,398.93 and 103,398.16 is: 155,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,904.65 : 421,398.93 = 103,398.16 : x
  2. Step 2: Convert to fraction form
    280,904.65/421,398.93 = 103,398.16/x
  3. Step 3: Cross multiply
    280,904.65x = 421,398.93 × 103,398.16
  4. Step 4: Simplify right side
    280,904.65x = 43,571,873,987.97
  5. Step 5: Solve for x
    x = 43,571,873,987.97/280,904.65
  6. Step 6: Final answer
    x = 155,112.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.