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Finding the Fourth Proportional to 314,817.94, 434,436.12 and 171,574.92

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Solution

The fourth proportional to 314,817.94, 434,436.12 and 171,574.92 is: 236,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,817.94 : 434,436.12 = 171,574.92 : x
  2. Step 2: Convert to fraction form
    314,817.94/434,436.12 = 171,574.92/x
  3. Step 3: Cross multiply
    314,817.94x = 434,436.12 × 171,574.92
  4. Step 4: Simplify right side
    314,817.94x = 74,538,342,534.11
  5. Step 5: Solve for x
    x = 74,538,342,534.11/314,817.94
  6. Step 6: Final answer
    x = 236,766.50

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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.