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Finding the Fourth Proportional to 271,497.60, 407,284.80 and 84,489.60

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Solution

The fourth proportional to 271,497.60, 407,284.80 and 84,489.60 is: 126,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,497.60 : 407,284.80 = 84,489.60 : x
  2. Step 2: Convert to fraction form
    271,497.60/407,284.80 = 84,489.60/x
  3. Step 3: Cross multiply
    271,497.60x = 407,284.80 × 84,489.60
  4. Step 4: Simplify right side
    271,497.60x = 34,411,329,838.08
  5. Step 5: Solve for x
    x = 34,411,329,838.08/271,497.60
  6. Step 6: Final answer
    x = 126,746.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.