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Finding the Fourth Proportional to 314,393.83, 469,452.23 and 296,634.04

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Solution

The fourth proportional to 314,393.83, 469,452.23 and 296,634.04 is: 442,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,393.83 : 469,452.23 = 296,634.04 : x
  2. Step 2: Convert to fraction form
    314,393.83/469,452.23 = 296,634.04/x
  3. Step 3: Cross multiply
    314,393.83x = 469,452.23 × 296,634.04
  4. Step 4: Simplify right side
    314,393.83x = 139,255,511,571.91
  5. Step 5: Solve for x
    x = 139,255,511,571.91/314,393.83
  6. Step 6: Final answer
    x = 442,933.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.