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Finding the Fourth Proportional to 610,698.48, 842,768.51 and 335,054.46

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Solution

The fourth proportional to 610,698.48, 842,768.51 and 335,054.46 is: 462,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,698.48 : 842,768.51 = 335,054.46 : x
  2. Step 2: Convert to fraction form
    610,698.48/842,768.51 = 335,054.46/x
  3. Step 3: Cross multiply
    610,698.48x = 842,768.51 × 335,054.46
  4. Step 4: Simplify right side
    610,698.48x = 282,373,348,023.06
  5. Step 5: Solve for x
    x = 282,373,348,023.06/610,698.48
  6. Step 6: Final answer
    x = 462,377.68

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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.