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Finding the Fourth Proportional to 464,445.30, 649,436.10 and 464,445.30

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Solution

The fourth proportional to 464,445.30, 649,436.10 and 464,445.30 is: 649,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,445.30 : 649,436.10 = 464,445.30 : x
  2. Step 2: Convert to fraction form
    464,445.30/649,436.10 = 464,445.30/x
  3. Step 3: Cross multiply
    464,445.30x = 649,436.10 × 464,445.30
  4. Step 4: Simplify right side
    464,445.30x = 301,627,544,295.33
  5. Step 5: Solve for x
    x = 301,627,544,295.33/464,445.30
  6. Step 6: Final answer
    x = 649,436.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.