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Finding the Fourth Proportional to 407,490.51, 562,308.77 and 226,188.17

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Solution

The fourth proportional to 407,490.51, 562,308.77 and 226,188.17 is: 312,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,490.51 : 562,308.77 = 226,188.17 : x
  2. Step 2: Convert to fraction form
    407,490.51/562,308.77 = 226,188.17/x
  3. Step 3: Cross multiply
    407,490.51x = 562,308.77 × 226,188.17
  4. Step 4: Simplify right side
    407,490.51x = 127,187,593,632.49
  5. Step 5: Solve for x
    x = 127,187,593,632.49/407,490.51
  6. Step 6: Final answer
    x = 312,124.06

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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.