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Finding the Fourth Proportional to 314,244.01, 471,080.08 and 114,518.87

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Solution

The fourth proportional to 314,244.01, 471,080.08 and 114,518.87 is: 171,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,244.01 : 471,080.08 = 114,518.87 : x
  2. Step 2: Convert to fraction form
    314,244.01/471,080.08 = 114,518.87/x
  3. Step 3: Cross multiply
    314,244.01x = 471,080.08 × 114,518.87
  4. Step 4: Simplify right side
    314,244.01x = 53,947,558,441.11
  5. Step 5: Solve for x
    x = 53,947,558,441.11/314,244.01
  6. Step 6: Final answer
    x = 171,674.10

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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.