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Finding the Fourth Proportional to 566,705.25, 782,053.25 and 312,055.83

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Solution

The fourth proportional to 566,705.25, 782,053.25 and 312,055.83 is: 430,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,705.25 : 782,053.25 = 312,055.83 : x
  2. Step 2: Convert to fraction form
    566,705.25/782,053.25 = 312,055.83/x
  3. Step 3: Cross multiply
    566,705.25x = 782,053.25 × 312,055.83
  4. Step 4: Simplify right side
    566,705.25x = 244,044,274,472.67
  5. Step 5: Solve for x
    x = 244,044,274,472.67/566,705.25
  6. Step 6: Final answer
    x = 430,637.05

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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.