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Finding the Fourth Proportional to 671,534.88, 1,008,002.64 and 297,820.32

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Solution

The fourth proportional to 671,534.88, 1,008,002.64 and 297,820.32 is: 447,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,534.88 : 1,008,002.64 = 297,820.32 : x
  2. Step 2: Convert to fraction form
    671,534.88/1,008,002.64 = 297,820.32/x
  3. Step 3: Cross multiply
    671,534.88x = 1,008,002.64 × 297,820.32
  4. Step 4: Simplify right side
    671,534.88x = 300,203,668,805.65
  5. Step 5: Solve for x
    x = 300,203,668,805.65/671,534.88
  6. Step 6: Final answer
    x = 447,041.07

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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.