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Finding the Fourth Proportional to 468,592.70, 646,657.02 and 253,733.40

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Solution

The fourth proportional to 468,592.70, 646,657.02 and 253,733.40 is: 350,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,592.70 : 646,657.02 = 253,733.40 : x
  2. Step 2: Convert to fraction form
    468,592.70/646,657.02 = 253,733.40/x
  3. Step 3: Cross multiply
    468,592.70x = 646,657.02 × 253,733.40
  4. Step 4: Simplify right side
    468,592.70x = 164,078,484,318.47
  5. Step 5: Solve for x
    x = 164,078,484,318.47/468,592.70
  6. Step 6: Final answer
    x = 350,151.61

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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.