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Finding the Fourth Proportional to 417,504, 576,138.72 and 226,510.08

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Solution

The fourth proportional to 417,504, 576,138.72 and 226,510.08 is: 312,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,504 : 576,138.72 = 226,510.08 : x
  2. Step 2: Convert to fraction form
    417,504/576,138.72 = 226,510.08/x
  3. Step 3: Cross multiply
    417,504x = 576,138.72 × 226,510.08
  4. Step 4: Simplify right side
    417,504x = 130,501,227,558.30
  5. Step 5: Solve for x
    x = 130,501,227,558.30/417,504
  6. Step 6: Final answer
    x = 312,574.80

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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.