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Finding the Fourth Proportional to 296,111.40, 442,871.10 and 264,748.20

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Solution

The fourth proportional to 296,111.40, 442,871.10 and 264,748.20 is: 395,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,111.40 : 442,871.10 = 264,748.20 : x
  2. Step 2: Convert to fraction form
    296,111.40/442,871.10 = 264,748.20/x
  3. Step 3: Cross multiply
    296,111.40x = 442,871.10 × 264,748.20
  4. Step 4: Simplify right side
    296,111.40x = 117,249,326,557.02
  5. Step 5: Solve for x
    x = 117,249,326,557.02/296,111.40
  6. Step 6: Final answer
    x = 395,963.57

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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.