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Finding the Fourth Proportional to 407,466.88, 562,309.20 and 226,182.40

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Solution

The fourth proportional to 407,466.88, 562,309.20 and 226,182.40 is: 312,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,466.88 : 562,309.20 = 226,182.40 : x
  2. Step 2: Convert to fraction form
    407,466.88/562,309.20 = 226,182.40/x
  3. Step 3: Cross multiply
    407,466.88x = 562,309.20 × 226,182.40
  4. Step 4: Simplify right side
    407,466.88x = 127,184,444,398.08
  5. Step 5: Solve for x
    x = 127,184,444,398.08/407,466.88
  6. Step 6: Final answer
    x = 312,134.44

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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.