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Finding the Fourth Proportional to 477,398.72, 716,097 and 177,872.60

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Solution

The fourth proportional to 477,398.72, 716,097 and 177,872.60 is: 266,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,398.72 : 716,097 = 177,872.60 : x
  2. Step 2: Convert to fraction form
    477,398.72/716,097 = 177,872.60/x
  3. Step 3: Cross multiply
    477,398.72x = 716,097 × 177,872.60
  4. Step 4: Simplify right side
    477,398.72x = 127,374,035,242.20
  5. Step 5: Solve for x
    x = 127,374,035,242.20/477,398.72
  6. Step 6: Final answer
    x = 266,808.50

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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.