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Finding the Fourth Proportional to 795,107, 1,097,247.66 and 437,411

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Solution

The fourth proportional to 795,107, 1,097,247.66 and 437,411 is: 603,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,107 : 1,097,247.66 = 437,411 : x
  2. Step 2: Convert to fraction form
    795,107/1,097,247.66 = 437,411/x
  3. Step 3: Cross multiply
    795,107x = 1,097,247.66 × 437,411
  4. Step 4: Simplify right side
    795,107x = 479,948,196,208.26
  5. Step 5: Solve for x
    x = 479,948,196,208.26/795,107
  6. Step 6: Final answer
    x = 603,627.18

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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.