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Finding the Fourth Proportional to 461,988.84, 692,983.20 and 173,854.64

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Solution

The fourth proportional to 461,988.84, 692,983.20 and 173,854.64 is: 260,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,988.84 : 692,983.20 = 173,854.64 : x
  2. Step 2: Convert to fraction form
    461,988.84/692,983.20 = 173,854.64/x
  3. Step 3: Cross multiply
    461,988.84x = 692,983.20 × 173,854.64
  4. Step 4: Simplify right side
    461,988.84x = 120,478,344,762.05
  5. Step 5: Solve for x
    x = 120,478,344,762.05/461,988.84
  6. Step 6: Final answer
    x = 260,781.94

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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.