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Finding the Fourth Proportional to 456,091.84, 683,903.40 and 156,491.74

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Solution

The fourth proportional to 456,091.84, 683,903.40 and 156,491.74 is: 234,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,091.84 : 683,903.40 = 156,491.74 : x
  2. Step 2: Convert to fraction form
    456,091.84/683,903.40 = 156,491.74/x
  3. Step 3: Cross multiply
    456,091.84x = 683,903.40 × 156,491.74
  4. Step 4: Simplify right side
    456,091.84x = 107,025,233,057.92
  5. Step 5: Solve for x
    x = 107,025,233,057.92/456,091.84
  6. Step 6: Final answer
    x = 234,657.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.