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Finding the Fourth Proportional to 1,095,974.84, 1,643,962.54 and 717,214.52

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Solution

The fourth proportional to 1,095,974.84, 1,643,962.54 and 717,214.52 is: 1,075,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,974.84 : 1,643,962.54 = 717,214.52 : x
  2. Step 2: Convert to fraction form
    1,095,974.84/1,643,962.54 = 717,214.52/x
  3. Step 3: Cross multiply
    1,095,974.84x = 1,643,962.54 × 717,214.52
  4. Step 4: Simplify right side
    1,095,974.84x = 1,179,073,804,024.08
  5. Step 5: Solve for x
    x = 1,179,073,804,024.08/1,095,974.84
  6. Step 6: Final answer
    x = 1,075,821.96

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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.