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Finding the Fourth Proportional to 314,809.59, 434,424.56 and 171,566.55

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Solution

The fourth proportional to 314,809.59, 434,424.56 and 171,566.55 is: 236,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.59 : 434,424.56 = 171,566.55 : x
  2. Step 2: Convert to fraction form
    314,809.59/434,424.56 = 171,566.55/x
  3. Step 3: Cross multiply
    314,809.59x = 434,424.56 × 171,566.55
  4. Step 4: Simplify right side
    314,809.59x = 74,532,722,136.64
  5. Step 5: Solve for x
    x = 74,532,722,136.64/314,809.59
  6. Step 6: Final answer
    x = 236,754.93

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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.