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Finding the Fourth Proportional to 514,180.66, 771,195.03 and 301,046.98

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Solution

The fourth proportional to 514,180.66, 771,195.03 and 301,046.98 is: 451,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,180.66 : 771,195.03 = 301,046.98 : x
  2. Step 2: Convert to fraction form
    514,180.66/771,195.03 = 301,046.98/x
  3. Step 3: Cross multiply
    514,180.66x = 771,195.03 × 301,046.98
  4. Step 4: Simplify right side
    514,180.66x = 232,165,934,772.51
  5. Step 5: Solve for x
    x = 232,165,934,772.51/514,180.66
  6. Step 6: Final answer
    x = 451,526.00

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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.