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Finding the Fourth Proportional to 1,430,765.48, 1,974,455.80 and 786,227.24

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Solution

The fourth proportional to 1,430,765.48, 1,974,455.80 and 786,227.24 is: 1,084,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,765.48 : 1,974,455.80 = 786,227.24 : x
  2. Step 2: Convert to fraction form
    1,430,765.48/1,974,455.80 = 786,227.24/x
  3. Step 3: Cross multiply
    1,430,765.48x = 1,974,455.80 × 786,227.24
  4. Step 4: Simplify right side
    1,430,765.48x = 1,552,370,934,135.99
  5. Step 5: Solve for x
    x = 1,552,370,934,135.99/1,430,765.48
  6. Step 6: Final answer
    x = 1,084,993.28

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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.