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Finding the Fourth Proportional to 514,451.98, 771,717.84 and 154,594.72

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Solution

The fourth proportional to 514,451.98, 771,717.84 and 154,594.72 is: 231,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,451.98 : 771,717.84 = 154,594.72 : x
  2. Step 2: Convert to fraction form
    514,451.98/771,717.84 = 154,594.72/x
  3. Step 3: Cross multiply
    514,451.98x = 771,717.84 × 154,594.72
  4. Step 4: Simplify right side
    514,451.98x = 119,303,503,393.81
  5. Step 5: Solve for x
    x = 119,303,503,393.81/514,451.98
  6. Step 6: Final answer
    x = 231,904.06

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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.