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Finding the Fourth Proportional to 384,017.68, 575,975.95 and 114,140.06

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Solution

The fourth proportional to 384,017.68, 575,975.95 and 114,140.06 is: 171,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,017.68 : 575,975.95 = 114,140.06 : x
  2. Step 2: Convert to fraction form
    384,017.68/575,975.95 = 114,140.06/x
  3. Step 3: Cross multiply
    384,017.68x = 575,975.95 × 114,140.06
  4. Step 4: Simplify right side
    384,017.68x = 65,741,929,491.56
  5. Step 5: Solve for x
    x = 65,741,929,491.56/384,017.68
  6. Step 6: Final answer
    x = 171,195.06

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1.5x scale

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.