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Finding the Fourth Proportional to 704,314, 1,056,553.16 and 255,246.40

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Solution

The fourth proportional to 704,314, 1,056,553.16 and 255,246.40 is: 382,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,314 : 1,056,553.16 = 255,246.40 : x
  2. Step 2: Convert to fraction form
    704,314/1,056,553.16 = 255,246.40/x
  3. Step 3: Cross multiply
    704,314x = 1,056,553.16 × 255,246.40
  4. Step 4: Simplify right side
    704,314x = 269,681,390,498.62
  5. Step 5: Solve for x
    x = 269,681,390,498.62/704,314
  6. Step 6: Final answer
    x = 382,899.38

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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.