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Finding the Fourth Proportional to 705,018.75, 972,927.09 and 403,212.75

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Solution

The fourth proportional to 705,018.75, 972,927.09 and 403,212.75 is: 556,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,018.75 : 972,927.09 = 403,212.75 : x
  2. Step 2: Convert to fraction form
    705,018.75/972,927.09 = 403,212.75/x
  3. Step 3: Cross multiply
    705,018.75x = 972,927.09 × 403,212.75
  4. Step 4: Simplify right side
    705,018.75x = 392,296,607,508.40
  5. Step 5: Solve for x
    x = 392,296,607,508.40/705,018.75
  6. Step 6: Final answer
    x = 556,434.29

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