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Finding the Fourth Proportional to 265,814.14, 398,269.86 and 160,411.64

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Solution

The fourth proportional to 265,814.14, 398,269.86 and 160,411.64 is: 240,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,814.14 : 398,269.86 = 160,411.64 : x
  2. Step 2: Convert to fraction form
    265,814.14/398,269.86 = 160,411.64/x
  3. Step 3: Cross multiply
    265,814.14x = 398,269.86 × 160,411.64
  4. Step 4: Simplify right side
    265,814.14x = 63,887,121,405.17
  5. Step 5: Solve for x
    x = 63,887,121,405.17/265,814.14
  6. Step 6: Final answer
    x = 240,345.08

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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.