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Finding the Fourth Proportional to 353,564.48, 487,909.60 and 192,416.06

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Solution

The fourth proportional to 353,564.48, 487,909.60 and 192,416.06 is: 265,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,564.48 : 487,909.60 = 192,416.06 : x
  2. Step 2: Convert to fraction form
    353,564.48/487,909.60 = 192,416.06/x
  3. Step 3: Cross multiply
    353,564.48x = 487,909.60 × 192,416.06
  4. Step 4: Simplify right side
    353,564.48x = 93,881,643,606.91
  5. Step 5: Solve for x
    x = 93,881,643,606.91/353,564.48
  6. Step 6: Final answer
    x = 265,529.06

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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.