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Finding the Fourth Proportional to 464,265.15, 696,299.31 and 148,637.31

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Solution

The fourth proportional to 464,265.15, 696,299.31 and 148,637.31 is: 222,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,265.15 : 696,299.31 = 148,637.31 : x
  2. Step 2: Convert to fraction form
    464,265.15/696,299.31 = 148,637.31/x
  3. Step 3: Cross multiply
    464,265.15x = 696,299.31 × 148,637.31
  4. Step 4: Simplify right side
    464,265.15x = 103,496,056,393.26
  5. Step 5: Solve for x
    x = 103,496,056,393.26/464,265.15
  6. Step 6: Final answer
    x = 222,924.46

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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.