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Finding the Fourth Proportional to 524,770.52, 786,657.02 and 205,127.30

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Solution

The fourth proportional to 524,770.52, 786,657.02 and 205,127.30 is: 307,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770.52 : 786,657.02 = 205,127.30 : x
  2. Step 2: Convert to fraction form
    524,770.52/786,657.02 = 205,127.30/x
  3. Step 3: Cross multiply
    524,770.52x = 786,657.02 × 205,127.30
  4. Step 4: Simplify right side
    524,770.52x = 161,364,831,479.65
  5. Step 5: Solve for x
    x = 161,364,831,479.65/524,770.52
  6. Step 6: Final answer
    x = 307,495.99

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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.