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Finding the Fourth Proportional to 498,654.50, 688,193.01 and 297,450.50

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Solution

The fourth proportional to 498,654.50, 688,193.01 and 297,450.50 is: 410,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,654.50 : 688,193.01 = 297,450.50 : x
  2. Step 2: Convert to fraction form
    498,654.50/688,193.01 = 297,450.50/x
  3. Step 3: Cross multiply
    498,654.50x = 688,193.01 × 297,450.50
  4. Step 4: Simplify right side
    498,654.50x = 204,703,354,921.01
  5. Step 5: Solve for x
    x = 204,703,354,921.01/498,654.50
  6. Step 6: Final answer
    x = 410,511.40

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1.5x scale

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.