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Finding the Fourth Proportional to 413,712.36, 570,923.10 and 232,424.28

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Solution

The fourth proportional to 413,712.36, 570,923.10 and 232,424.28 is: 320,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,712.36 : 570,923.10 = 232,424.28 : x
  2. Step 2: Convert to fraction form
    413,712.36/570,923.10 = 232,424.28/x
  3. Step 3: Cross multiply
    413,712.36x = 570,923.10 × 232,424.28
  4. Step 4: Simplify right side
    413,712.36x = 132,696,390,452.87
  5. Step 5: Solve for x
    x = 132,696,390,452.87/413,712.36
  6. Step 6: Final answer
    x = 320,745.53

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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.