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Finding the Fourth Proportional to 463,365.58, 695,105.61 and 163,784.38

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Solution

The fourth proportional to 463,365.58, 695,105.61 and 163,784.38 is: 245,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,365.58 : 695,105.61 = 163,784.38 : x
  2. Step 2: Convert to fraction form
    463,365.58/695,105.61 = 163,784.38/x
  3. Step 3: Cross multiply
    463,365.58x = 695,105.61 × 163,784.38
  4. Step 4: Simplify right side
    463,365.58x = 113,847,441,368.37
  5. Step 5: Solve for x
    x = 113,847,441,368.37/463,365.58
  6. Step 6: Final answer
    x = 245,696.80

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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.