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Finding the Fourth Proportional to 473,977.86, 654,099.75 and 282,955.56

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Solution

The fourth proportional to 473,977.86, 654,099.75 and 282,955.56 is: 390,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,977.86 : 654,099.75 = 282,955.56 : x
  2. Step 2: Convert to fraction form
    473,977.86/654,099.75 = 282,955.56/x
  3. Step 3: Cross multiply
    473,977.86x = 654,099.75 × 282,955.56
  4. Step 4: Simplify right side
    473,977.86x = 185,081,161,057.11
  5. Step 5: Solve for x
    x = 185,081,161,057.11/473,977.86
  6. Step 6: Final answer
    x = 390,484.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.