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Finding the Fourth Proportional to 499,838.60, 749,101.80 and 200,073.80

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Solution

The fourth proportional to 499,838.60, 749,101.80 and 200,073.80 is: 299,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,838.60 : 749,101.80 = 200,073.80 : x
  2. Step 2: Convert to fraction form
    499,838.60/749,101.80 = 200,073.80/x
  3. Step 3: Cross multiply
    499,838.60x = 749,101.80 × 200,073.80
  4. Step 4: Simplify right side
    499,838.60x = 149,875,643,712.84
  5. Step 5: Solve for x
    x = 149,875,643,712.84/499,838.60
  6. Step 6: Final answer
    x = 299,848.08

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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.