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Finding the Fourth Proportional to 314,810.08, 434,438.24 and 171,570.24

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Solution

The fourth proportional to 314,810.08, 434,438.24 and 171,570.24 is: 236,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,810.08 : 434,438.24 = 171,570.24 : x
  2. Step 2: Convert to fraction form
    314,810.08/434,438.24 = 171,570.24/x
  3. Step 3: Cross multiply
    314,810.08x = 434,438.24 × 171,570.24
  4. Step 4: Simplify right side
    314,810.08x = 74,536,673,101.98
  5. Step 5: Solve for x
    x = 74,536,673,101.98/314,810.08
  6. Step 6: Final answer
    x = 236,767.11

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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.