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Finding the Fourth Proportional to 461,985.84, 692,978.70 and 173,851.64

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Solution

The fourth proportional to 461,985.84, 692,978.70 and 173,851.64 is: 260,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,985.84 : 692,978.70 = 173,851.64 : x
  2. Step 2: Convert to fraction form
    461,985.84/692,978.70 = 173,851.64/x
  3. Step 3: Cross multiply
    461,985.84x = 692,978.70 × 173,851.64
  4. Step 4: Simplify right side
    461,985.84x = 120,475,483,480.07
  5. Step 5: Solve for x
    x = 120,475,483,480.07/461,985.84
  6. Step 6: Final answer
    x = 260,777.44

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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.