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Finding the Fourth Proportional to 564,485.92, 778,962.13 and 335,053.23

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Solution

The fourth proportional to 564,485.92, 778,962.13 and 335,053.23 is: 462,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,485.92 : 778,962.13 = 335,053.23 : x
  2. Step 2: Convert to fraction form
    564,485.92/778,962.13 = 335,053.23/x
  3. Step 3: Cross multiply
    564,485.92x = 778,962.13 × 335,053.23
  4. Step 4: Simplify right side
    564,485.92x = 260,993,777,704.18
  5. Step 5: Solve for x
    x = 260,993,777,704.18/564,485.92
  6. Step 6: Final answer
    x = 462,356.58

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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.