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Finding the Fourth Proportional to 314,352.63, 433,816.42 and 171,122.22

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Solution

The fourth proportional to 314,352.63, 433,816.42 and 171,122.22 is: 236,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,352.63 : 433,816.42 = 171,122.22 : x
  2. Step 2: Convert to fraction form
    314,352.63/433,816.42 = 171,122.22/x
  3. Step 3: Cross multiply
    314,352.63x = 433,816.42 × 171,122.22
  4. Step 4: Simplify right side
    314,352.63x = 74,235,630,382.71
  5. Step 5: Solve for x
    x = 74,235,630,382.71/314,352.63
  6. Step 6: Final answer
    x = 236,154.00

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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.