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Finding the Fourth Proportional to 407,452.40, 562,275.60 and 226,153.76

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Solution

The fourth proportional to 407,452.40, 562,275.60 and 226,153.76 is: 312,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,452.40 : 562,275.60 = 226,153.76 : x
  2. Step 2: Convert to fraction form
    407,452.40/562,275.60 = 226,153.76/x
  3. Step 3: Cross multiply
    407,452.40x = 562,275.60 × 226,153.76
  4. Step 4: Simplify right side
    407,452.40x = 127,160,741,096.26
  5. Step 5: Solve for x
    x = 127,160,741,096.26/407,452.40
  6. Step 6: Final answer
    x = 312,087.35

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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.