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Finding the Fourth Proportional to 271,748.40, 407,130.53 and 232,382.40

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Solution

The fourth proportional to 271,748.40, 407,130.53 and 232,382.40 is: 348,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,748.40 : 407,130.53 = 232,382.40 : x
  2. Step 2: Convert to fraction form
    271,748.40/407,130.53 = 232,382.40/x
  3. Step 3: Cross multiply
    271,748.40x = 407,130.53 × 232,382.40
  4. Step 4: Simplify right side
    271,748.40x = 94,609,968,512.76
  5. Step 5: Solve for x
    x = 94,609,968,512.76/271,748.40
  6. Step 6: Final answer
    x = 348,152.81

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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.