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Finding the Fourth Proportional to 567,056.81, 782,012.77 and 413,852.33

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Solution

The fourth proportional to 567,056.81, 782,012.77 and 413,852.33 is: 570,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,056.81 : 782,012.77 = 413,852.33 : x
  2. Step 2: Convert to fraction form
    567,056.81/782,012.77 = 413,852.33/x
  3. Step 3: Cross multiply
    567,056.81x = 782,012.77 × 413,852.33
  4. Step 4: Simplify right side
    567,056.81x = 323,637,806,742.82
  5. Step 5: Solve for x
    x = 323,637,806,742.82/567,056.81
  6. Step 6: Final answer
    x = 570,732.60

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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.