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Finding the Fourth Proportional to 407,746.80, 562,709.30 and 226,459.53

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Solution

The fourth proportional to 407,746.80, 562,709.30 and 226,459.53 is: 312,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,746.80 : 562,709.30 = 226,459.53 : x
  2. Step 2: Convert to fraction form
    407,746.80/562,709.30 = 226,459.53/x
  3. Step 3: Cross multiply
    407,746.80x = 562,709.30 × 226,459.53
  4. Step 4: Simplify right side
    407,746.80x = 127,430,882,472.33
  5. Step 5: Solve for x
    x = 127,430,882,472.33/407,746.80
  6. Step 6: Final answer
    x = 312,524.54

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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.