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Finding the Fourth Proportional to 314,702.84, 434,294.88 and 171,462.83

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Solution

The fourth proportional to 314,702.84, 434,294.88 and 171,462.83 is: 236,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,702.84 : 434,294.88 = 171,462.83 : x
  2. Step 2: Convert to fraction form
    314,702.84/434,294.88 = 171,462.83/x
  3. Step 3: Cross multiply
    314,702.84x = 434,294.88 × 171,462.83
  4. Step 4: Simplify right side
    314,702.84x = 74,465,429,179.31
  5. Step 5: Solve for x
    x = 74,465,429,179.31/314,702.84
  6. Step 6: Final answer
    x = 236,621.41

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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.