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Finding the Fourth Proportional to 468,706.51, 646,814.42 and 253,846.45

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Solution

The fourth proportional to 468,706.51, 646,814.42 and 253,846.45 is: 350,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,706.51 : 646,814.42 = 253,846.45 : x
  2. Step 2: Convert to fraction form
    468,706.51/646,814.42 = 253,846.45/x
  3. Step 3: Cross multiply
    468,706.51x = 646,814.42 × 253,846.45
  4. Step 4: Simplify right side
    468,706.51x = 164,191,541,091.74
  5. Step 5: Solve for x
    x = 164,191,541,091.74/468,706.51
  6. Step 6: Final answer
    x = 350,307.79

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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.