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Finding the Fourth Proportional to 514,903.50, 772,316.82 and 262,026

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Solution

The fourth proportional to 514,903.50, 772,316.82 and 262,026 is: 393,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,903.50 : 772,316.82 = 262,026 : x
  2. Step 2: Convert to fraction form
    514,903.50/772,316.82 = 262,026/x
  3. Step 3: Cross multiply
    514,903.50x = 772,316.82 × 262,026
  4. Step 4: Simplify right side
    514,903.50x = 202,367,087,077.32
  5. Step 5: Solve for x
    x = 202,367,087,077.32/514,903.50
  6. Step 6: Final answer
    x = 393,019.44

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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.