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Finding the Fourth Proportional to 292,428.48, 438,645.96 and 102,894.24

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Solution

The fourth proportional to 292,428.48, 438,645.96 and 102,894.24 is: 154,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428.48 : 438,645.96 = 102,894.24 : x
  2. Step 2: Convert to fraction form
    292,428.48/438,645.96 = 102,894.24/x
  3. Step 3: Cross multiply
    292,428.48x = 438,645.96 × 102,894.24
  4. Step 4: Simplify right side
    292,428.48x = 45,134,142,683.27
  5. Step 5: Solve for x
    x = 45,134,142,683.27/292,428.48
  6. Step 6: Final answer
    x = 154,342.50

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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.