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Finding the Fourth Proportional to 1,494,053, 2,241,099 and 496,781

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Solution

The fourth proportional to 1,494,053, 2,241,099 and 496,781 is: 745,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,053 : 2,241,099 = 496,781 : x
  2. Step 2: Convert to fraction form
    1,494,053/2,241,099 = 496,781/x
  3. Step 3: Cross multiply
    1,494,053x = 2,241,099 × 496,781
  4. Step 4: Simplify right side
    1,494,053x = 1,113,335,402,319
  5. Step 5: Solve for x
    x = 1,113,335,402,319/1,494,053
  6. Step 6: Final answer
    x = 745,177.98

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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.