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Finding the Fourth Proportional to 608,693.32, 913,127.46 and 188,002

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Solution

The fourth proportional to 608,693.32, 913,127.46 and 188,002 is: 282,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,693.32 : 913,127.46 = 188,002 : x
  2. Step 2: Convert to fraction form
    608,693.32/913,127.46 = 188,002/x
  3. Step 3: Cross multiply
    608,693.32x = 913,127.46 × 188,002
  4. Step 4: Simplify right side
    608,693.32x = 171,669,788,734.92
  5. Step 5: Solve for x
    x = 171,669,788,734.92/608,693.32
  6. Step 6: Final answer
    x = 282,030.02

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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.