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Finding the Fourth Proportional to 417,373.92, 575,971.74 and 226,383.18

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Solution

The fourth proportional to 417,373.92, 575,971.74 and 226,383.18 is: 312,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,373.92 : 575,971.74 = 226,383.18 : x
  2. Step 2: Convert to fraction form
    417,373.92/575,971.74 = 226,383.18/x
  3. Step 3: Cross multiply
    417,373.92x = 575,971.74 × 226,383.18
  4. Step 4: Simplify right side
    417,373.92x = 130,390,314,091.33
  5. Step 5: Solve for x
    x = 130,390,314,091.33/417,373.92
  6. Step 6: Final answer
    x = 312,406.47

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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.