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Finding the Fourth Proportional to 317,709.14, 476,719.53 and 140,004.45

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Solution

The fourth proportional to 317,709.14, 476,719.53 and 140,004.45 is: 210,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,709.14 : 476,719.53 = 140,004.45 : x
  2. Step 2: Convert to fraction form
    317,709.14/476,719.53 = 140,004.45/x
  3. Step 3: Cross multiply
    317,709.14x = 476,719.53 × 140,004.45
  4. Step 4: Simplify right side
    317,709.14x = 66,742,855,076.89
  5. Step 5: Solve for x
    x = 66,742,855,076.89/317,709.14
  6. Step 6: Final answer
    x = 210,075.34

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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.