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Finding the Fourth Proportional to 413,412.76, 570,542.70 and 232,136.74

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Solution

The fourth proportional to 413,412.76, 570,542.70 and 232,136.74 is: 320,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,412.76 : 570,542.70 = 232,136.74 : x
  2. Step 2: Convert to fraction form
    413,412.76/570,542.70 = 232,136.74/x
  3. Step 3: Cross multiply
    413,412.76x = 570,542.70 × 232,136.74
  4. Step 4: Simplify right side
    413,412.76x = 132,443,922,408.80
  5. Step 5: Solve for x
    x = 132,443,922,408.80/413,412.76
  6. Step 6: Final answer
    x = 320,367.28

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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.