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Finding the Fourth Proportional to 292,463.98, 438,695.97 and 105,475.48

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Solution

The fourth proportional to 292,463.98, 438,695.97 and 105,475.48 is: 158,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,463.98 : 438,695.97 = 105,475.48 : x
  2. Step 2: Convert to fraction form
    292,463.98/438,695.97 = 105,475.48/x
  3. Step 3: Cross multiply
    292,463.98x = 438,695.97 × 105,475.48
  4. Step 4: Simplify right side
    292,463.98x = 46,271,668,009.82
  5. Step 5: Solve for x
    x = 46,271,668,009.82/292,463.98
  6. Step 6: Final answer
    x = 158,213.22

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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.