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Finding the Fourth Proportional to 536,934.28, 740,978.42 and 295,226.76

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Solution

The fourth proportional to 536,934.28, 740,978.42 and 295,226.76 is: 407,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,934.28 : 740,978.42 = 295,226.76 : x
  2. Step 2: Convert to fraction form
    536,934.28/740,978.42 = 295,226.76/x
  3. Step 3: Cross multiply
    536,934.28x = 740,978.42 × 295,226.76
  4. Step 4: Simplify right side
    536,934.28x = 218,756,658,166.52
  5. Step 5: Solve for x
    x = 218,756,658,166.52/536,934.28
  6. Step 6: Final answer
    x = 407,417.94

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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.