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Finding the Fourth Proportional to 1,291,970, 1,937,972.28 and 405,506

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Solution

The fourth proportional to 1,291,970, 1,937,972.28 and 405,506 is: 608,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,970 : 1,937,972.28 = 405,506 : x
  2. Step 2: Convert to fraction form
    1,291,970/1,937,972.28 = 405,506/x
  3. Step 3: Cross multiply
    1,291,970x = 1,937,972.28 × 405,506
  4. Step 4: Simplify right side
    1,291,970x = 785,859,387,373.68
  5. Step 5: Solve for x
    x = 785,859,387,373.68/1,291,970
  6. Step 6: Final answer
    x = 608,264.42

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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.