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Finding the Fourth Proportional to 343,857.60, 516,005.10 and 201,702.60

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Solution

The fourth proportional to 343,857.60, 516,005.10 and 201,702.60 is: 302,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,857.60 : 516,005.10 = 201,702.60 : x
  2. Step 2: Convert to fraction form
    343,857.60/516,005.10 = 201,702.60/x
  3. Step 3: Cross multiply
    343,857.60x = 516,005.10 × 201,702.60
  4. Step 4: Simplify right side
    343,857.60x = 104,079,570,283.26
  5. Step 5: Solve for x
    x = 104,079,570,283.26/343,857.60
  6. Step 6: Final answer
    x = 302,682.19

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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.