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Finding the Fourth Proportional to 566,709, 782,058.42 and 312,059.58

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Solution

The fourth proportional to 566,709, 782,058.42 and 312,059.58 is: 430,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,709 : 782,058.42 = 312,059.58 : x
  2. Step 2: Convert to fraction form
    566,709/782,058.42 = 312,059.58/x
  3. Step 3: Cross multiply
    566,709x = 782,058.42 × 312,059.58
  4. Step 4: Simplify right side
    566,709x = 244,048,822,080.66
  5. Step 5: Solve for x
    x = 244,048,822,080.66/566,709
  6. Step 6: Final answer
    x = 430,642.22

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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.