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Finding the Fourth Proportional to 532,506.43, 734,858.23 and 314,793.57

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Solution

The fourth proportional to 532,506.43, 734,858.23 and 314,793.57 is: 434,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,506.43 : 734,858.23 = 314,793.57 : x
  2. Step 2: Convert to fraction form
    532,506.43/734,858.23 = 314,793.57/x
  3. Step 3: Cross multiply
    532,506.43x = 734,858.23 × 314,793.57
  4. Step 4: Simplify right side
    532,506.43x = 231,328,643,303.36
  5. Step 5: Solve for x
    x = 231,328,643,303.36/532,506.43
  6. Step 6: Final answer
    x = 434,414.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.