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Finding the Fourth Proportional to 696,938.46, 962,113 and 467,411.78

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Solution

The fourth proportional to 696,938.46, 962,113 and 467,411.78 is: 645,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,938.46 : 962,113 = 467,411.78 : x
  2. Step 2: Convert to fraction form
    696,938.46/962,113 = 467,411.78/x
  3. Step 3: Cross multiply
    696,938.46x = 962,113 × 467,411.78
  4. Step 4: Simplify right side
    696,938.46x = 449,702,949,891.14
  5. Step 5: Solve for x
    x = 449,702,949,891.14/696,938.46
  6. Step 6: Final answer
    x = 645,254.89

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Double scale
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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.