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Finding the Fourth Proportional to 296,174.40, 442,965.60 and 264,811.20

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Solution

The fourth proportional to 296,174.40, 442,965.60 and 264,811.20 is: 396,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,174.40 : 442,965.60 = 264,811.20 : x
  2. Step 2: Convert to fraction form
    296,174.40/442,965.60 = 264,811.20/x
  3. Step 3: Cross multiply
    296,174.40x = 442,965.60 × 264,811.20
  4. Step 4: Simplify right side
    296,174.40x = 117,302,252,094.72
  5. Step 5: Solve for x
    x = 117,302,252,094.72/296,174.40
  6. Step 6: Final answer
    x = 396,058.04

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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.