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Finding the Fourth Proportional to 566,712, 782,062.56 and 312,062.58

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Solution

The fourth proportional to 566,712, 782,062.56 and 312,062.58 is: 430,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,712 : 782,062.56 = 312,062.58 : x
  2. Step 2: Convert to fraction form
    566,712/782,062.56 = 312,062.58/x
  3. Step 3: Cross multiply
    566,712x = 782,062.56 × 312,062.58
  4. Step 4: Simplify right side
    566,712x = 244,052,460,195.01
  5. Step 5: Solve for x
    x = 244,052,460,195.01/566,712
  6. Step 6: Final answer
    x = 430,646.36

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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.