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Finding the Fourth Proportional to 524,340.54, 786,012.50 and 334,267.46

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Solution

The fourth proportional to 524,340.54, 786,012.50 and 334,267.46 is: 501,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,340.54 : 786,012.50 = 334,267.46 : x
  2. Step 2: Convert to fraction form
    524,340.54/786,012.50 = 334,267.46/x
  3. Step 3: Cross multiply
    524,340.54x = 786,012.50 × 334,267.46
  4. Step 4: Simplify right side
    524,340.54x = 262,738,398,808.86
  5. Step 5: Solve for x
    x = 262,738,398,808.86/524,340.54
  6. Step 6: Final answer
    x = 501,083.51

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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.