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Finding the Fourth Proportional to 464,861.70, 696,308.40 and 414,998.10

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Solution

The fourth proportional to 464,861.70, 696,308.40 and 414,998.10 is: 621,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,861.70 : 696,308.40 = 414,998.10 : x
  2. Step 2: Convert to fraction form
    464,861.70/696,308.40 = 414,998.10/x
  3. Step 3: Cross multiply
    464,861.70x = 696,308.40 × 414,998.10
  4. Step 4: Simplify right side
    464,861.70x = 288,966,663,014.04
  5. Step 5: Solve for x
    x = 288,966,663,014.04/464,861.70
  6. Step 6: Final answer
    x = 621,618.57

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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.