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Finding the Fourth Proportional to 324,534.64, 447,827.60 and 188,567.16

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Solution

The fourth proportional to 324,534.64, 447,827.60 and 188,567.16 is: 260,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,534.64 : 447,827.60 = 188,567.16 : x
  2. Step 2: Convert to fraction form
    324,534.64/447,827.60 = 188,567.16/x
  3. Step 3: Cross multiply
    324,534.64x = 447,827.60 × 188,567.16
  4. Step 4: Simplify right side
    324,534.64x = 84,445,578,701.62
  5. Step 5: Solve for x
    x = 84,445,578,701.62/324,534.64
  6. Step 6: Final answer
    x = 260,205.13

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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.