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Finding the Fourth Proportional to 407,588.34, 562,489.48 and 226,300.30

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Solution

The fourth proportional to 407,588.34, 562,489.48 and 226,300.30 is: 312,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,588.34 : 562,489.48 = 226,300.30 : x
  2. Step 2: Convert to fraction form
    407,588.34/562,489.48 = 226,300.30/x
  3. Step 3: Cross multiply
    407,588.34x = 562,489.48 × 226,300.30
  4. Step 4: Simplify right side
    407,588.34x = 127,291,536,947.50
  5. Step 5: Solve for x
    x = 127,291,536,947.50/407,588.34
  6. Step 6: Final answer
    x = 312,304.16

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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.