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Finding the Fourth Proportional to 378,365.38, 567,281.95 and 175,746.37

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Solution

The fourth proportional to 378,365.38, 567,281.95 and 175,746.37 is: 263,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,365.38 : 567,281.95 = 175,746.37 : x
  2. Step 2: Convert to fraction form
    378,365.38/567,281.95 = 175,746.37/x
  3. Step 3: Cross multiply
    378,365.38x = 567,281.95 × 175,746.37
  4. Step 4: Simplify right side
    378,365.38x = 99,697,743,479.02
  5. Step 5: Solve for x
    x = 99,697,743,479.02/378,365.38
  6. Step 6: Final answer
    x = 263,495.95

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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.