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Finding the Fourth Proportional to 376,907.13, 565,139.30 and 152,274.69

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Solution

The fourth proportional to 376,907.13, 565,139.30 and 152,274.69 is: 228,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,907.13 : 565,139.30 = 152,274.69 : x
  2. Step 2: Convert to fraction form
    376,907.13/565,139.30 = 152,274.69/x
  3. Step 3: Cross multiply
    376,907.13x = 565,139.30 × 152,274.69
  4. Step 4: Simplify right side
    376,907.13x = 86,056,410,952.94
  5. Step 5: Solve for x
    x = 86,056,410,952.94/376,907.13
  6. Step 6: Final answer
    x = 228,322.59

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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.