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Finding the Fourth Proportional to 407,712.06, 562,646.04 and 226,427

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Solution

The fourth proportional to 407,712.06, 562,646.04 and 226,427 is: 312,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.06 : 562,646.04 = 226,427 : x
  2. Step 2: Convert to fraction form
    407,712.06/562,646.04 = 226,427/x
  3. Step 3: Cross multiply
    407,712.06x = 562,646.04 × 226,427
  4. Step 4: Simplify right side
    407,712.06x = 127,398,254,899.08
  5. Step 5: Solve for x
    x = 127,398,254,899.08/407,712.06
  6. Step 6: Final answer
    x = 312,471.15

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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.