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Finding the Fourth Proportional to 417,041.40, 575,518.34 and 226,055.56

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Solution

The fourth proportional to 417,041.40, 575,518.34 and 226,055.56 is: 311,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,041.40 : 575,518.34 = 226,055.56 : x
  2. Step 2: Convert to fraction form
    417,041.40/575,518.34 = 226,055.56/x
  3. Step 3: Cross multiply
    417,041.40x = 575,518.34 × 226,055.56
  4. Step 4: Simplify right side
    417,041.40x = 130,099,120,638.97
  5. Step 5: Solve for x
    x = 130,099,120,638.97/417,041.40
  6. Step 6: Final answer
    x = 311,957.33

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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.