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Finding the Fourth Proportional to 417,046.83, 575,509.20 and 226,056.12

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Solution

The fourth proportional to 417,046.83, 575,509.20 and 226,056.12 is: 311,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,046.83 : 575,509.20 = 226,056.12 : x
  2. Step 2: Convert to fraction form
    417,046.83/575,509.20 = 226,056.12/x
  3. Step 3: Cross multiply
    417,046.83x = 575,509.20 × 226,056.12
  4. Step 4: Simplify right side
    417,046.83x = 130,097,376,776.30
  5. Step 5: Solve for x
    x = 130,097,376,776.30/417,046.83
  6. Step 6: Final answer
    x = 311,949.08

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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.