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Finding the Fourth Proportional to 314,814.88, 434,433.42 and 171,572.08

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Solution

The fourth proportional to 314,814.88, 434,433.42 and 171,572.08 is: 236,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,814.88 : 434,433.42 = 171,572.08 : x
  2. Step 2: Convert to fraction form
    314,814.88/434,433.42 = 171,572.08/x
  3. Step 3: Cross multiply
    314,814.88x = 434,433.42 × 171,572.08
  4. Step 4: Simplify right side
    314,814.88x = 74,536,645,490.91
  5. Step 5: Solve for x
    x = 74,536,645,490.91/314,814.88
  6. Step 6: Final answer
    x = 236,763.41

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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.