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Finding the Fourth Proportional to 514,671.98, 771,873.17 and 154,746.45

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Solution

The fourth proportional to 514,671.98, 771,873.17 and 154,746.45 is: 232,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,671.98 : 771,873.17 = 154,746.45 : x
  2. Step 2: Convert to fraction form
    514,671.98/771,873.17 = 154,746.45/x
  3. Step 3: Cross multiply
    514,671.98x = 771,873.17 × 154,746.45
  4. Step 4: Simplify right side
    514,671.98x = 119,444,632,134.01
  5. Step 5: Solve for x
    x = 119,444,632,134.01/514,671.98
  6. Step 6: Final answer
    x = 232,079.15

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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.