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Finding the Fourth Proportional to 461,567.60, 692,610.60 and 195,282.80

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Solution

The fourth proportional to 461,567.60, 692,610.60 and 195,282.80 is: 293,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,567.60 : 692,610.60 = 195,282.80 : x
  2. Step 2: Convert to fraction form
    461,567.60/692,610.60 = 195,282.80/x
  3. Step 3: Cross multiply
    461,567.60x = 692,610.60 × 195,282.80
  4. Step 4: Simplify right side
    461,567.60x = 135,254,937,277.68
  5. Step 5: Solve for x
    x = 135,254,937,277.68/461,567.60
  6. Step 6: Final answer
    x = 293,033.86

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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.