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Finding the Fourth Proportional to 417,746.94, 576,486.84 and 226,756.24

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Solution

The fourth proportional to 417,746.94, 576,486.84 and 226,756.24 is: 312,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,746.94 : 576,486.84 = 226,756.24 : x
  2. Step 2: Convert to fraction form
    417,746.94/576,486.84 = 226,756.24/x
  3. Step 3: Cross multiply
    417,746.94x = 576,486.84 × 226,756.24
  4. Step 4: Simplify right side
    417,746.94x = 130,721,988,247.88
  5. Step 5: Solve for x
    x = 130,721,988,247.88/417,746.94
  6. Step 6: Final answer
    x = 312,921.47

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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.