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Finding the Fourth Proportional to 301,482.08, 416,043.52 and 165,518.32

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Solution

The fourth proportional to 301,482.08, 416,043.52 and 165,518.32 is: 228,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,482.08 : 416,043.52 = 165,518.32 : x
  2. Step 2: Convert to fraction form
    301,482.08/416,043.52 = 165,518.32/x
  3. Step 3: Cross multiply
    301,482.08x = 416,043.52 × 165,518.32
  4. Step 4: Simplify right side
    301,482.08x = 68,862,824,477.29
  5. Step 5: Solve for x
    x = 68,862,824,477.29/301,482.08
  6. Step 6: Final answer
    x = 228,414.32

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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.