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Finding the Fourth Proportional to 533,766, 736,597.62 and 307,412.04

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Solution

The fourth proportional to 533,766, 736,597.62 and 307,412.04 is: 424,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,766 : 736,597.62 = 307,412.04 : x
  2. Step 2: Convert to fraction form
    533,766/736,597.62 = 307,412.04/x
  3. Step 3: Cross multiply
    533,766x = 736,597.62 × 307,412.04
  4. Step 4: Simplify right side
    533,766x = 226,438,977,023.35
  5. Step 5: Solve for x
    x = 226,438,977,023.35/533,766
  6. Step 6: Final answer
    x = 424,228.93

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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.