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Finding the Fourth Proportional to 292,406.76, 438,519.42 and 105,393.96

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Solution

The fourth proportional to 292,406.76, 438,519.42 and 105,393.96 is: 158,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,406.76 : 438,519.42 = 105,393.96 : x
  2. Step 2: Convert to fraction form
    292,406.76/438,519.42 = 105,393.96/x
  3. Step 3: Cross multiply
    292,406.76x = 438,519.42 × 105,393.96
  4. Step 4: Simplify right side
    292,406.76x = 46,217,298,210.70
  5. Step 5: Solve for x
    x = 46,217,298,210.70/292,406.76
  6. Step 6: Final answer
    x = 158,058.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.