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Finding the Fourth Proportional to 834,356.70, 1,151,419.86 and 452,384.46

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Solution

The fourth proportional to 834,356.70, 1,151,419.86 and 452,384.46 is: 624,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,356.70 : 1,151,419.86 = 452,384.46 : x
  2. Step 2: Convert to fraction form
    834,356.70/1,151,419.86 = 452,384.46/x
  3. Step 3: Cross multiply
    834,356.70x = 1,151,419.86 × 452,384.46
  4. Step 4: Simplify right side
    834,356.70x = 520,884,451,599.38
  5. Step 5: Solve for x
    x = 520,884,451,599.38/834,356.70
  6. Step 6: Final answer
    x = 624,294.68

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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.