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Finding the Fourth Proportional to 471,005.70, 706,508.55 and 452,634.90

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Solution

The fourth proportional to 471,005.70, 706,508.55 and 452,634.90 is: 678,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,005.70 : 706,508.55 = 452,634.90 : x
  2. Step 2: Convert to fraction form
    471,005.70/706,508.55 = 452,634.90/x
  3. Step 3: Cross multiply
    471,005.70x = 706,508.55 × 452,634.90
  4. Step 4: Simplify right side
    471,005.70x = 319,790,426,878.40
  5. Step 5: Solve for x
    x = 319,790,426,878.40/471,005.70
  6. Step 6: Final answer
    x = 678,952.35

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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.