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Finding the Fourth Proportional to 407,654.88, 562,538.64 and 226,355.76

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Solution

The fourth proportional to 407,654.88, 562,538.64 and 226,355.76 is: 312,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,654.88 : 562,538.64 = 226,355.76 : x
  2. Step 2: Convert to fraction form
    407,654.88/562,538.64 = 226,355.76/x
  3. Step 3: Cross multiply
    407,654.88x = 562,538.64 × 226,355.76
  4. Step 4: Simplify right side
    407,654.88x = 127,333,861,386.57
  5. Step 5: Solve for x
    x = 127,333,861,386.57/407,654.88
  6. Step 6: Final answer
    x = 312,357.01

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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.