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Finding the Fourth Proportional to 514,208.30, 771,809.99 and 248,156.10

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Solution

The fourth proportional to 514,208.30, 771,809.99 and 248,156.10 is: 372,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,208.30 : 771,809.99 = 248,156.10 : x
  2. Step 2: Convert to fraction form
    514,208.30/771,809.99 = 248,156.10/x
  3. Step 3: Cross multiply
    514,208.30x = 771,809.99 × 248,156.10
  4. Step 4: Simplify right side
    514,208.30x = 191,529,355,818.66
  5. Step 5: Solve for x
    x = 191,529,355,818.66/514,208.30
  6. Step 6: Final answer
    x = 372,474.26

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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.