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Finding the Fourth Proportional to 314,368.14, 433,828.08 and 171,129.27

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Solution

The fourth proportional to 314,368.14, 433,828.08 and 171,129.27 is: 236,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368.14 : 433,828.08 = 171,129.27 : x
  2. Step 2: Convert to fraction form
    314,368.14/433,828.08 = 171,129.27/x
  3. Step 3: Cross multiply
    314,368.14x = 433,828.08 × 171,129.27
  4. Step 4: Simplify right side
    314,368.14x = 74,240,682,635.90
  5. Step 5: Solve for x
    x = 74,240,682,635.90/314,368.14
  6. Step 6: Final answer
    x = 236,158.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.