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Finding the Fourth Proportional to 841,984, 1,161,937.92 and 484,288

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Solution

The fourth proportional to 841,984, 1,161,937.92 and 484,288 is: 668,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,984 : 1,161,937.92 = 484,288 : x
  2. Step 2: Convert to fraction form
    841,984/1,161,937.92 = 484,288/x
  3. Step 3: Cross multiply
    841,984x = 1,161,937.92 × 484,288
  4. Step 4: Simplify right side
    841,984x = 562,712,591,400.96
  5. Step 5: Solve for x
    x = 562,712,591,400.96/841,984
  6. Step 6: Final answer
    x = 668,317.44

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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.