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Finding the Fourth Proportional to 417,506, 576,141.48 and 226,512.08

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Solution

The fourth proportional to 417,506, 576,141.48 and 226,512.08 is: 312,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,506 : 576,141.48 = 226,512.08 : x
  2. Step 2: Convert to fraction form
    417,506/576,141.48 = 226,512.08/x
  3. Step 3: Cross multiply
    417,506x = 576,141.48 × 226,512.08
  4. Step 4: Simplify right side
    417,506x = 130,503,005,009.08
  5. Step 5: Solve for x
    x = 130,503,005,009.08/417,506
  6. Step 6: Final answer
    x = 312,577.56

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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.