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Finding the Fourth Proportional to 532,258.70, 734,407.31 and 305,860.46

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Solution

The fourth proportional to 532,258.70, 734,407.31 and 305,860.46 is: 422,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,258.70 : 734,407.31 = 305,860.46 : x
  2. Step 2: Convert to fraction form
    532,258.70/734,407.31 = 305,860.46/x
  3. Step 3: Cross multiply
    532,258.70x = 734,407.31 × 305,860.46
  4. Step 4: Simplify right side
    532,258.70x = 224,626,154,756.58
  5. Step 5: Solve for x
    x = 224,626,154,756.58/532,258.70
  6. Step 6: Final answer
    x = 422,024.40

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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.