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Finding the Fourth Proportional to 292,442.84, 438,574.94 and 123,960

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Solution

The fourth proportional to 292,442.84, 438,574.94 and 123,960 is: 185,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,442.84 : 438,574.94 = 123,960 : x
  2. Step 2: Convert to fraction form
    292,442.84/438,574.94 = 123,960/x
  3. Step 3: Cross multiply
    292,442.84x = 438,574.94 × 123,960
  4. Step 4: Simplify right side
    292,442.84x = 54,365,749,562.40
  5. Step 5: Solve for x
    x = 54,365,749,562.40/292,442.84
  6. Step 6: Final answer
    x = 185,902.14

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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.