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Finding the Fourth Proportional to 301,838.77, 416,513.10 and 174,522.58

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Solution

The fourth proportional to 301,838.77, 416,513.10 and 174,522.58 is: 240,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,838.77 : 416,513.10 = 174,522.58 : x
  2. Step 2: Convert to fraction form
    301,838.77/416,513.10 = 174,522.58/x
  3. Step 3: Cross multiply
    301,838.77x = 416,513.10 × 174,522.58
  4. Step 4: Simplify right side
    301,838.77x = 72,690,940,815.80
  5. Step 5: Solve for x
    x = 72,690,940,815.80/301,838.77
  6. Step 6: Final answer
    x = 240,827.05

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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.