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Finding the Fourth Proportional to 612,654.82, 918,982.64 and 191,963.50

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Solution

The fourth proportional to 612,654.82, 918,982.64 and 191,963.50 is: 287,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,654.82 : 918,982.64 = 191,963.50 : x
  2. Step 2: Convert to fraction form
    612,654.82/918,982.64 = 191,963.50/x
  3. Step 3: Cross multiply
    612,654.82x = 918,982.64 × 191,963.50
  4. Step 4: Simplify right side
    612,654.82x = 176,411,123,053.82
  5. Step 5: Solve for x
    x = 176,411,123,053.82/612,654.82
  6. Step 6: Final answer
    x = 287,945.38

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1.5x scale

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.