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Finding the Fourth Proportional to 484,223.40, 726,335.10 and 295,266.60

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Solution

The fourth proportional to 484,223.40, 726,335.10 and 295,266.60 is: 442,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,223.40 : 726,335.10 = 295,266.60 : x
  2. Step 2: Convert to fraction form
    484,223.40/726,335.10 = 295,266.60/x
  3. Step 3: Cross multiply
    484,223.40x = 726,335.10 × 295,266.60
  4. Step 4: Simplify right side
    484,223.40x = 214,462,495,437.66
  5. Step 5: Solve for x
    x = 214,462,495,437.66/484,223.40
  6. Step 6: Final answer
    x = 442,899.90

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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.