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Finding the Fourth Proportional to 464,232, 695,268 and 451,461.60

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Solution

The fourth proportional to 464,232, 695,268 and 451,461.60 is: 676,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,232 : 695,268 = 451,461.60 : x
  2. Step 2: Convert to fraction form
    464,232/695,268 = 451,461.60/x
  3. Step 3: Cross multiply
    464,232x = 695,268 × 451,461.60
  4. Step 4: Simplify right side
    464,232x = 313,886,803,708.80
  5. Step 5: Solve for x
    x = 313,886,803,708.80/464,232
  6. Step 6: Final answer
    x = 676,142.11

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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.