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Finding the Fourth Proportional to 413,549.12, 570,914.52 and 278,294.24

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Solution

The fourth proportional to 413,549.12, 570,914.52 and 278,294.24 is: 384,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,549.12 : 570,914.52 = 278,294.24 : x
  2. Step 2: Convert to fraction form
    413,549.12/570,914.52 = 278,294.24/x
  3. Step 3: Cross multiply
    413,549.12x = 570,914.52 × 278,294.24
  4. Step 4: Simplify right side
    413,549.12x = 158,882,222,448.37
  5. Step 5: Solve for x
    x = 158,882,222,448.37/413,549.12
  6. Step 6: Final answer
    x = 384,191.90

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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.