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Finding the Fourth Proportional to 456,841.34, 685,402.24 and 204,334.28

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Solution

The fourth proportional to 456,841.34, 685,402.24 and 204,334.28 is: 306,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,841.34 : 685,402.24 = 204,334.28 : x
  2. Step 2: Convert to fraction form
    456,841.34/685,402.24 = 204,334.28/x
  3. Step 3: Cross multiply
    456,841.34x = 685,402.24 × 204,334.28
  4. Step 4: Simplify right side
    456,841.34x = 140,051,173,220.79
  5. Step 5: Solve for x
    x = 140,051,173,220.79/456,841.34
  6. Step 6: Final answer
    x = 306,564.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.