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Finding the Fourth Proportional to 407,572.59, 562,456.80 and 226,296.21

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Solution

The fourth proportional to 407,572.59, 562,456.80 and 226,296.21 is: 312,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,572.59 : 562,456.80 = 226,296.21 : x
  2. Step 2: Convert to fraction form
    407,572.59/562,456.80 = 226,296.21/x
  3. Step 3: Cross multiply
    407,572.59x = 562,456.80 × 226,296.21
  4. Step 4: Simplify right side
    407,572.59x = 127,281,842,128.73
  5. Step 5: Solve for x
    x = 127,281,842,128.73/407,572.59
  6. Step 6: Final answer
    x = 312,292.45

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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.