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Finding the Fourth Proportional to 646,820.38, 969,048.30 and 468,886.06

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Solution

The fourth proportional to 646,820.38, 969,048.30 and 468,886.06 is: 702,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,820.38 : 969,048.30 = 468,886.06 : x
  2. Step 2: Convert to fraction form
    646,820.38/969,048.30 = 468,886.06/x
  3. Step 3: Cross multiply
    646,820.38x = 969,048.30 × 468,886.06
  4. Step 4: Simplify right side
    646,820.38x = 454,373,239,336.70
  5. Step 5: Solve for x
    x = 454,373,239,336.70/646,820.38
  6. Step 6: Final answer
    x = 702,472.05

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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.