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Finding the Fourth Proportional to 233,265.40, 349,898.10 and 186,609.40

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Solution

The fourth proportional to 233,265.40, 349,898.10 and 186,609.40 is: 279,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265.40 : 349,898.10 = 186,609.40 : x
  2. Step 2: Convert to fraction form
    233,265.40/349,898.10 = 186,609.40/x
  3. Step 3: Cross multiply
    233,265.40x = 349,898.10 × 186,609.40
  4. Step 4: Simplify right side
    233,265.40x = 65,294,274,502.14
  5. Step 5: Solve for x
    x = 65,294,274,502.14/233,265.40
  6. Step 6: Final answer
    x = 279,914.10

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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.