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Finding the Fourth Proportional to 1,335,922.84, 1,999,153.50 and 830,721.40

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Solution

The fourth proportional to 1,335,922.84, 1,999,153.50 and 830,721.40 is: 1,243,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,922.84 : 1,999,153.50 = 830,721.40 : x
  2. Step 2: Convert to fraction form
    1,335,922.84/1,999,153.50 = 830,721.40/x
  3. Step 3: Cross multiply
    1,335,922.84x = 1,999,153.50 × 830,721.40
  4. Step 4: Simplify right side
    1,335,922.84x = 1,660,739,594,334.90
  5. Step 5: Solve for x
    x = 1,660,739,594,334.90/1,335,922.84
  6. Step 6: Final answer
    x = 1,243,140.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.