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Finding the Fourth Proportional to 413,580.80, 620,954.40 and 256,116.80

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Solution

The fourth proportional to 413,580.80, 620,954.40 and 256,116.80 is: 384,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,580.80 : 620,954.40 = 256,116.80 : x
  2. Step 2: Convert to fraction form
    413,580.80/620,954.40 = 256,116.80/x
  3. Step 3: Cross multiply
    413,580.80x = 620,954.40 × 256,116.80
  4. Step 4: Simplify right side
    413,580.80x = 159,036,853,873.92
  5. Step 5: Solve for x
    x = 159,036,853,873.92/413,580.80
  6. Step 6: Final answer
    x = 384,536.36

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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.