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Finding the Fourth Proportional to 562,867.24, 776,727.84 and 308,169.16

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Solution

The fourth proportional to 562,867.24, 776,727.84 and 308,169.16 is: 425,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,867.24 : 776,727.84 = 308,169.16 : x
  2. Step 2: Convert to fraction form
    562,867.24/776,727.84 = 308,169.16/x
  3. Step 3: Cross multiply
    562,867.24x = 776,727.84 × 308,169.16
  4. Step 4: Simplify right side
    562,867.24x = 239,363,566,001.41
  5. Step 5: Solve for x
    x = 239,363,566,001.41/562,867.24
  6. Step 6: Final answer
    x = 425,257.59

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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.