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Finding the Fourth Proportional to 386,313.95, 579,462.08 and 102,024.54

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Solution

The fourth proportional to 386,313.95, 579,462.08 and 102,024.54 is: 153,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,313.95 : 579,462.08 = 102,024.54 : x
  2. Step 2: Convert to fraction form
    386,313.95/579,462.08 = 102,024.54/x
  3. Step 3: Cross multiply
    386,313.95x = 579,462.08 × 102,024.54
  4. Step 4: Simplify right side
    386,313.95x = 59,119,351,649.32
  5. Step 5: Solve for x
    x = 59,119,351,649.32/386,313.95
  6. Step 6: Final answer
    x = 153,034.47

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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.