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Finding the Fourth Proportional to 292,463.16, 438,694.79 and 105,474.66

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Solution

The fourth proportional to 292,463.16, 438,694.79 and 105,474.66 is: 158,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,463.16 : 438,694.79 = 105,474.66 : x
  2. Step 2: Convert to fraction form
    292,463.16/438,694.79 = 105,474.66/x
  3. Step 3: Cross multiply
    292,463.16x = 438,694.79 × 105,474.66
  4. Step 4: Simplify right side
    292,463.16x = 46,271,181,646.54
  5. Step 5: Solve for x
    x = 46,271,181,646.54/292,463.16
  6. Step 6: Final answer
    x = 158,212.00

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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.