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Finding the Fourth Proportional to 413,448.36, 570,564.72 and 232,199.52

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Solution

The fourth proportional to 413,448.36, 570,564.72 and 232,199.52 is: 320,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,448.36 : 570,564.72 = 232,199.52 : x
  2. Step 2: Convert to fraction form
    413,448.36/570,564.72 = 232,199.52/x
  3. Step 3: Cross multiply
    413,448.36x = 570,564.72 × 232,199.52
  4. Step 4: Simplify right side
    413,448.36x = 132,484,854,112.93
  5. Step 5: Solve for x
    x = 132,484,854,112.93/413,448.36
  6. Step 6: Final answer
    x = 320,438.70

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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.