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Finding the Fourth Proportional to 468,631.63, 646,712 and 253,771.93

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Solution

The fourth proportional to 468,631.63, 646,712 and 253,771.93 is: 350,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,631.63 : 646,712 = 253,771.93 : x
  2. Step 2: Convert to fraction form
    468,631.63/646,712 = 253,771.93/x
  3. Step 3: Cross multiply
    468,631.63x = 646,712 × 253,771.93
  4. Step 4: Simplify right side
    468,631.63x = 164,117,352,394.16
  5. Step 5: Solve for x
    x = 164,117,352,394.16/468,631.63
  6. Step 6: Final answer
    x = 350,205.45

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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.