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Finding the Fourth Proportional to 702,705.32, 969,733.66 and 380,415.41

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Solution

The fourth proportional to 702,705.32, 969,733.66 and 380,415.41 is: 524,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,705.32 : 969,733.66 = 380,415.41 : x
  2. Step 2: Convert to fraction form
    702,705.32/969,733.66 = 380,415.41/x
  3. Step 3: Cross multiply
    702,705.32x = 969,733.66 × 380,415.41
  4. Step 4: Simplify right side
    702,705.32x = 368,901,627,859.70
  5. Step 5: Solve for x
    x = 368,901,627,859.70/702,705.32
  6. Step 6: Final answer
    x = 524,973.44

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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.