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Finding the Fourth Proportional to 407,712.39, 562,669.13 and 226,424.36

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Solution

The fourth proportional to 407,712.39, 562,669.13 and 226,424.36 is: 312,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.39 : 562,669.13 = 226,424.36 : x
  2. Step 2: Convert to fraction form
    407,712.39/562,669.13 = 226,424.36/x
  3. Step 3: Cross multiply
    407,712.39x = 562,669.13 × 226,424.36
  4. Step 4: Simplify right side
    407,712.39x = 127,401,999,624.74
  5. Step 5: Solve for x
    x = 127,401,999,624.74/407,712.39
  6. Step 6: Final answer
    x = 312,480.08

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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.