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Finding the Fourth Proportional to 471,210.88, 707,043.36 and 234,574.40

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Solution

The fourth proportional to 471,210.88, 707,043.36 and 234,574.40 is: 351,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,210.88 : 707,043.36 = 234,574.40 : x
  2. Step 2: Convert to fraction form
    471,210.88/707,043.36 = 234,574.40/x
  3. Step 3: Cross multiply
    471,210.88x = 707,043.36 × 234,574.40
  4. Step 4: Simplify right side
    471,210.88x = 165,854,271,945.98
  5. Step 5: Solve for x
    x = 165,854,271,945.98/471,210.88
  6. Step 6: Final answer
    x = 351,974.62

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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.