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Finding the Fourth Proportional to 704,216.64, 971,816.16 and 381,925.44

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Solution

The fourth proportional to 704,216.64, 971,816.16 and 381,925.44 is: 527,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,216.64 : 971,816.16 = 381,925.44 : x
  2. Step 2: Convert to fraction form
    704,216.64/971,816.16 = 381,925.44/x
  3. Step 3: Cross multiply
    704,216.64x = 971,816.16 × 381,925.44
  4. Step 4: Simplify right side
    704,216.64x = 371,161,314,507.11
  5. Step 5: Solve for x
    x = 371,161,314,507.11/704,216.64
  6. Step 6: Final answer
    x = 527,055.59

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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.