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Finding the Fourth Proportional to 292,477.98, 438,717.06 and 105,489.48

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Solution

The fourth proportional to 292,477.98, 438,717.06 and 105,489.48 is: 158,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,477.98 : 438,717.06 = 105,489.48 : x
  2. Step 2: Convert to fraction form
    292,477.98/438,717.06 = 105,489.48/x
  3. Step 3: Cross multiply
    292,477.98x = 438,717.06 × 105,489.48
  4. Step 4: Simplify right side
    292,477.98x = 46,280,034,526.53
  5. Step 5: Solve for x
    x = 46,280,034,526.53/292,477.98
  6. Step 6: Final answer
    x = 158,234.25

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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.