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Finding the Fourth Proportional to 464,208, 695,232 and 451,437.60

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Solution

The fourth proportional to 464,208, 695,232 and 451,437.60 is: 676,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,208 : 695,232 = 451,437.60 : x
  2. Step 2: Convert to fraction form
    464,208/695,232 = 451,437.60/x
  3. Step 3: Cross multiply
    464,208x = 695,232 × 451,437.60
  4. Step 4: Simplify right side
    464,208x = 313,853,865,523.20
  5. Step 5: Solve for x
    x = 313,853,865,523.20/464,208
  6. Step 6: Final answer
    x = 676,106.11

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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.