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Finding the Fourth Proportional to 827,446.40, 1,142,024.64 and 487,894.40

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Solution

The fourth proportional to 827,446.40, 1,142,024.64 and 487,894.40 is: 673,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,446.40 : 1,142,024.64 = 487,894.40 : x
  2. Step 2: Convert to fraction form
    827,446.40/1,142,024.64 = 487,894.40/x
  3. Step 3: Cross multiply
    827,446.40x = 1,142,024.64 × 487,894.40
  4. Step 4: Simplify right side
    827,446.40x = 557,187,426,518.02
  5. Step 5: Solve for x
    x = 557,187,426,518.02/827,446.40
  6. Step 6: Final answer
    x = 673,381.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.