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Finding the Fourth Proportional to 461,885.94, 692,950.95 and 195,656.22

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Solution

The fourth proportional to 461,885.94, 692,950.95 and 195,656.22 is: 293,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,885.94 : 692,950.95 = 195,656.22 : x
  2. Step 2: Convert to fraction form
    461,885.94/692,950.95 = 195,656.22/x
  3. Step 3: Cross multiply
    461,885.94x = 692,950.95 × 195,656.22
  4. Step 4: Simplify right side
    461,885.94x = 135,580,163,522.41
  5. Step 5: Solve for x
    x = 135,580,163,522.41/461,885.94
  6. Step 6: Final answer
    x = 293,536.03

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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.