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Finding the Fourth Proportional to 464,616.32, 696,624.96 and 198,550.40

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Solution

The fourth proportional to 464,616.32, 696,624.96 and 198,550.40 is: 297,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,616.32 : 696,624.96 = 198,550.40 : x
  2. Step 2: Convert to fraction form
    464,616.32/696,624.96 = 198,550.40/x
  3. Step 3: Cross multiply
    464,616.32x = 696,624.96 × 198,550.40
  4. Step 4: Simplify right side
    464,616.32x = 138,315,164,457.98
  5. Step 5: Solve for x
    x = 138,315,164,457.98/464,616.32
  6. Step 6: Final answer
    x = 297,697.60

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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.