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Finding the Fourth Proportional to 417,705, 576,417.48 and 226,714.32

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Solution

The fourth proportional to 417,705, 576,417.48 and 226,714.32 is: 312,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705 : 576,417.48 = 226,714.32 : x
  2. Step 2: Convert to fraction form
    417,705/576,417.48 = 226,714.32/x
  3. Step 3: Cross multiply
    417,705x = 576,417.48 × 226,714.32
  4. Step 4: Simplify right side
    417,705x = 130,682,097,014.31
  5. Step 5: Solve for x
    x = 130,682,097,014.31/417,705
  6. Step 6: Final answer
    x = 312,857.39

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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.