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Finding the Fourth Proportional to 298,356.48, 411,741.60 and 171,056.16

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Solution

The fourth proportional to 298,356.48, 411,741.60 and 171,056.16 is: 236,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,356.48 : 411,741.60 = 171,056.16 : x
  2. Step 2: Convert to fraction form
    298,356.48/411,741.60 = 171,056.16/x
  3. Step 3: Cross multiply
    298,356.48x = 411,741.60 × 171,056.16
  4. Step 4: Simplify right side
    298,356.48x = 70,430,937,008.26
  5. Step 5: Solve for x
    x = 70,430,937,008.26/298,356.48
  6. Step 6: Final answer
    x = 236,063.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.