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Finding the Fourth Proportional to 1,284,714.54, 1,773,738 and 826,035.12

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Solution

The fourth proportional to 1,284,714.54, 1,773,738 and 826,035.12 is: 1,140,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,714.54 : 1,773,738 = 826,035.12 : x
  2. Step 2: Convert to fraction form
    1,284,714.54/1,773,738 = 826,035.12/x
  3. Step 3: Cross multiply
    1,284,714.54x = 1,773,738 × 826,035.12
  4. Step 4: Simplify right side
    1,284,714.54x = 1,465,169,881,678.56
  5. Step 5: Solve for x
    x = 1,465,169,881,678.56/1,284,714.54
  6. Step 6: Final answer
    x = 1,140,463.38

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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.