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Finding the Fourth Proportional to 507,362.25, 760,382.40 and 282,713.61

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Solution

The fourth proportional to 507,362.25, 760,382.40 and 282,713.61 is: 423,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,362.25 : 760,382.40 = 282,713.61 : x
  2. Step 2: Convert to fraction form
    507,362.25/760,382.40 = 282,713.61/x
  3. Step 3: Cross multiply
    507,362.25x = 760,382.40 × 282,713.61
  4. Step 4: Simplify right side
    507,362.25x = 214,970,453,284.46
  5. Step 5: Solve for x
    x = 214,970,453,284.46/507,362.25
  6. Step 6: Final answer
    x = 423,702.10

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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.