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Finding the Fourth Proportional to 464,000.70, 696,005.16 and 183,517.98

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Solution

The fourth proportional to 464,000.70, 696,005.16 and 183,517.98 is: 275,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,000.70 : 696,005.16 = 183,517.98 : x
  2. Step 2: Convert to fraction form
    464,000.70/696,005.16 = 183,517.98/x
  3. Step 3: Cross multiply
    464,000.70x = 696,005.16 × 183,517.98
  4. Step 4: Simplify right side
    464,000.70x = 127,729,461,032.78
  5. Step 5: Solve for x
    x = 127,729,461,032.78/464,000.70
  6. Step 6: Final answer
    x = 275,278.60

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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.