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Finding the Fourth Proportional to 532,228.96, 734,366.33 and 305,830.72

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Solution

The fourth proportional to 532,228.96, 734,366.33 and 305,830.72 is: 421,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,228.96 : 734,366.33 = 305,830.72 : x
  2. Step 2: Convert to fraction form
    532,228.96/734,366.33 = 305,830.72/x
  3. Step 3: Cross multiply
    532,228.96x = 734,366.33 × 305,830.72
  4. Step 4: Simplify right side
    532,228.96x = 224,591,781,918.50
  5. Step 5: Solve for x
    x = 224,591,781,918.50/532,228.96
  6. Step 6: Final answer
    x = 421,983.39

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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.