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Finding the Fourth Proportional to 366,912.70, 549,712.95 and 314,424.70

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Solution

The fourth proportional to 366,912.70, 549,712.95 and 314,424.70 is: 471,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,912.70 : 549,712.95 = 314,424.70 : x
  2. Step 2: Convert to fraction form
    366,912.70/549,712.95 = 314,424.70/x
  3. Step 3: Cross multiply
    366,912.70x = 549,712.95 × 314,424.70
  4. Step 4: Simplify right side
    366,912.70x = 172,843,329,389.87
  5. Step 5: Solve for x
    x = 172,843,329,389.87/366,912.70
  6. Step 6: Final answer
    x = 471,074.81

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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.