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Finding the Fourth Proportional to 435,678.83, 652,119.65 and 232,767.87

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Solution

The fourth proportional to 435,678.83, 652,119.65 and 232,767.87 is: 348,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,678.83 : 652,119.65 = 232,767.87 : x
  2. Step 2: Convert to fraction form
    435,678.83/652,119.65 = 232,767.87/x
  3. Step 3: Cross multiply
    435,678.83x = 652,119.65 × 232,767.87
  4. Step 4: Simplify right side
    435,678.83x = 151,792,499,121.51
  5. Step 5: Solve for x
    x = 151,792,499,121.51/435,678.83
  6. Step 6: Final answer
    x = 348,404.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.