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Finding the Fourth Proportional to 452,274.72, 678,412 and 265,184.16

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Solution

The fourth proportional to 452,274.72, 678,412 and 265,184.16 is: 397,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,274.72 : 678,412 = 265,184.16 : x
  2. Step 2: Convert to fraction form
    452,274.72/678,412 = 265,184.16/x
  3. Step 3: Cross multiply
    452,274.72x = 678,412 × 265,184.16
  4. Step 4: Simplify right side
    452,274.72x = 179,904,116,353.92
  5. Step 5: Solve for x
    x = 179,904,116,353.92/452,274.72
  6. Step 6: Final answer
    x = 397,776.19

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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.