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Finding the Fourth Proportional to 469,907.64, 704,861.46 and 114,917.45

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Solution

The fourth proportional to 469,907.64, 704,861.46 and 114,917.45 is: 172,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,907.64 : 704,861.46 = 114,917.45 : x
  2. Step 2: Convert to fraction form
    469,907.64/704,861.46 = 114,917.45/x
  3. Step 3: Cross multiply
    469,907.64x = 704,861.46 × 114,917.45
  4. Step 4: Simplify right side
    469,907.64x = 81,000,878,062.17
  5. Step 5: Solve for x
    x = 81,000,878,062.17/469,907.64
  6. Step 6: Final answer
    x = 172,376.17

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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.