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Finding the Fourth Proportional to 502,150.84, 692,965.02 and 300,946.84

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Solution

The fourth proportional to 502,150.84, 692,965.02 and 300,946.84 is: 415,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,150.84 : 692,965.02 = 300,946.84 : x
  2. Step 2: Convert to fraction form
    502,150.84/692,965.02 = 300,946.84/x
  3. Step 3: Cross multiply
    502,150.84x = 692,965.02 × 300,946.84
  4. Step 4: Simplify right side
    502,150.84x = 208,545,632,999.54
  5. Step 5: Solve for x
    x = 208,545,632,999.54/502,150.84
  6. Step 6: Final answer
    x = 415,304.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.