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Finding the Fourth Proportional to 292,457.44, 438,686.16 and 105,468.94

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Solution

The fourth proportional to 292,457.44, 438,686.16 and 105,468.94 is: 158,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,457.44 : 438,686.16 = 105,468.94 : x
  2. Step 2: Convert to fraction form
    292,457.44/438,686.16 = 105,468.94/x
  3. Step 3: Cross multiply
    292,457.44x = 438,686.16 × 105,468.94
  4. Step 4: Simplify right side
    292,457.44x = 46,267,764,287.87
  5. Step 5: Solve for x
    x = 46,267,764,287.87/292,457.44
  6. Step 6: Final answer
    x = 158,203.41

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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.