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Finding the Fourth Proportional to 610,701.48, 842,772.65 and 335,057.46

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Solution

The fourth proportional to 610,701.48, 842,772.65 and 335,057.46 is: 462,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,701.48 : 842,772.65 = 335,057.46 : x
  2. Step 2: Convert to fraction form
    610,701.48/842,772.65 = 335,057.46/x
  3. Step 3: Cross multiply
    610,701.48x = 842,772.65 × 335,057.46
  4. Step 4: Simplify right side
    610,701.48x = 282,377,263,466.47
  5. Step 5: Solve for x
    x = 282,377,263,466.47/610,701.48
  6. Step 6: Final answer
    x = 462,381.82

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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.