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Finding the Fourth Proportional to 973,170.65, 1,342,978.38 and 543,467.07

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Solution

The fourth proportional to 973,170.65, 1,342,978.38 and 543,467.07 is: 749,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,170.65 : 1,342,978.38 = 543,467.07 : x
  2. Step 2: Convert to fraction form
    973,170.65/1,342,978.38 = 543,467.07/x
  3. Step 3: Cross multiply
    973,170.65x = 1,342,978.38 × 543,467.07
  4. Step 4: Simplify right side
    973,170.65x = 729,864,525,251.95
  5. Step 5: Solve for x
    x = 729,864,525,251.95/973,170.65
  6. Step 6: Final answer
    x = 749,986.16

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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.