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Finding the Fourth Proportional to 413,710.20, 570,329.10 and 277,500.60

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Solution

The fourth proportional to 413,710.20, 570,329.10 and 277,500.60 is: 382,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,710.20 : 570,329.10 = 277,500.60 : x
  2. Step 2: Convert to fraction form
    413,710.20/570,329.10 = 277,500.60/x
  3. Step 3: Cross multiply
    413,710.20x = 570,329.10 × 277,500.60
  4. Step 4: Simplify right side
    413,710.20x = 158,266,667,447.46
  5. Step 5: Solve for x
    x = 158,266,667,447.46/413,710.20
  6. Step 6: Final answer
    x = 382,554.42

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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.