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Finding the Fourth Proportional to 564,835.25, 779,477.69 and 310,188.26

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Solution

The fourth proportional to 564,835.25, 779,477.69 and 310,188.26 is: 428,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,835.25 : 779,477.69 = 310,188.26 : x
  2. Step 2: Convert to fraction form
    564,835.25/779,477.69 = 310,188.26/x
  3. Step 3: Cross multiply
    564,835.25x = 779,477.69 × 310,188.26
  4. Step 4: Simplify right side
    564,835.25x = 241,784,825,248.00
  5. Step 5: Solve for x
    x = 241,784,825,248.00/564,835.25
  6. Step 6: Final answer
    x = 428,062.57

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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.