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Finding the Fourth Proportional to 314,339.52, 471,580.56 and 103,977.12

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Solution

The fourth proportional to 314,339.52, 471,580.56 and 103,977.12 is: 155,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,339.52 : 471,580.56 = 103,977.12 : x
  2. Step 2: Convert to fraction form
    314,339.52/471,580.56 = 103,977.12/x
  3. Step 3: Cross multiply
    314,339.52x = 471,580.56 × 103,977.12
  4. Step 4: Simplify right side
    314,339.52x = 49,033,588,476.79
  5. Step 5: Solve for x
    x = 49,033,588,476.79/314,339.52
  6. Step 6: Final answer
    x = 155,989.26

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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.