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Finding the Fourth Proportional to 417,258.44, 575,816.79 and 226,271.78

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Solution

The fourth proportional to 417,258.44, 575,816.79 and 226,271.78 is: 312,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,258.44 : 575,816.79 = 226,271.78 : x
  2. Step 2: Convert to fraction form
    417,258.44/575,816.79 = 226,271.78/x
  3. Step 3: Cross multiply
    417,258.44x = 575,816.79 × 226,271.78
  4. Step 4: Simplify right side
    417,258.44x = 130,291,087,148.10
  5. Step 5: Solve for x
    x = 130,291,087,148.10/417,258.44
  6. Step 6: Final answer
    x = 312,255.13

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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.