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Finding the Fourth Proportional to 510,545.16, 766,036.44 and 211,243.32

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Solution

The fourth proportional to 510,545.16, 766,036.44 and 211,243.32 is: 316,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,545.16 : 766,036.44 = 211,243.32 : x
  2. Step 2: Convert to fraction form
    510,545.16/766,036.44 = 211,243.32/x
  3. Step 3: Cross multiply
    510,545.16x = 766,036.44 × 211,243.32
  4. Step 4: Simplify right side
    510,545.16x = 161,820,080,826.58
  5. Step 5: Solve for x
    x = 161,820,080,826.58/510,545.16
  6. Step 6: Final answer
    x = 316,955.47

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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.