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Finding the Fourth Proportional to 265,881.60, 398,284.80 and 165,734.40

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Solution

The fourth proportional to 265,881.60, 398,284.80 and 165,734.40 is: 248,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,881.60 : 398,284.80 = 165,734.40 : x
  2. Step 2: Convert to fraction form
    265,881.60/398,284.80 = 165,734.40/x
  3. Step 3: Cross multiply
    265,881.60x = 398,284.80 × 165,734.40
  4. Step 4: Simplify right side
    265,881.60x = 66,009,492,357.12
  5. Step 5: Solve for x
    x = 66,009,492,357.12/265,881.60
  6. Step 6: Final answer
    x = 248,266.49

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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.