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Finding the Fourth Proportional to 265,815.14, 398,271.36 and 160,412.64

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Solution

The fourth proportional to 265,815.14, 398,271.36 and 160,412.64 is: 240,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,815.14 : 398,271.36 = 160,412.64 : x
  2. Step 2: Convert to fraction form
    265,815.14/398,271.36 = 160,412.64/x
  3. Step 3: Cross multiply
    265,815.14x = 398,271.36 × 160,412.64
  4. Step 4: Simplify right side
    265,815.14x = 63,887,760,293.99
  5. Step 5: Solve for x
    x = 63,887,760,293.99/265,815.14
  6. Step 6: Final answer
    x = 240,346.58

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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.