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Finding the Fourth Proportional to 1,411,551.84, 1,947,953.42 and 766,972.04

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Solution

The fourth proportional to 1,411,551.84, 1,947,953.42 and 766,972.04 is: 1,058,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,551.84 : 1,947,953.42 = 766,972.04 : x
  2. Step 2: Convert to fraction form
    1,411,551.84/1,947,953.42 = 766,972.04/x
  3. Step 3: Cross multiply
    1,411,551.84x = 1,947,953.42 × 766,972.04
  4. Step 4: Simplify right side
    1,411,551.84x = 1,494,025,808,362.38
  5. Step 5: Solve for x
    x = 1,494,025,808,362.38/1,411,551.84
  6. Step 6: Final answer
    x = 1,058,427.87

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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.