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Finding the Fourth Proportional to 602,969.12, 832,055.76 and 334,676

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Solution

The fourth proportional to 602,969.12, 832,055.76 and 334,676 is: 461,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,969.12 : 832,055.76 = 334,676 : x
  2. Step 2: Convert to fraction form
    602,969.12/832,055.76 = 334,676/x
  3. Step 3: Cross multiply
    602,969.12x = 832,055.76 × 334,676
  4. Step 4: Simplify right side
    602,969.12x = 278,469,093,533.76
  5. Step 5: Solve for x
    x = 278,469,093,533.76/602,969.12
  6. Step 6: Final answer
    x = 461,829.78

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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.