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Finding the Fourth Proportional to 702,706.98, 969,737.81 and 380,416.30

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Solution

The fourth proportional to 702,706.98, 969,737.81 and 380,416.30 is: 524,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,706.98 : 969,737.81 = 380,416.30 : x
  2. Step 2: Convert to fraction form
    702,706.98/969,737.81 = 380,416.30/x
  3. Step 3: Cross multiply
    702,706.98x = 969,737.81 × 380,416.30
  4. Step 4: Simplify right side
    702,706.98x = 368,904,072,205.21
  5. Step 5: Solve for x
    x = 368,904,072,205.21/702,706.98
  6. Step 6: Final answer
    x = 524,975.68

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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.