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Finding the Fourth Proportional to 795,412, 1,097,668.74 and 437,716

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Solution

The fourth proportional to 795,412, 1,097,668.74 and 437,716 is: 604,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,412 : 1,097,668.74 = 437,716 : x
  2. Step 2: Convert to fraction form
    795,412/1,097,668.74 = 437,716/x
  3. Step 3: Cross multiply
    795,412x = 1,097,668.74 × 437,716
  4. Step 4: Simplify right side
    795,412x = 480,467,170,197.84
  5. Step 5: Solve for x
    x = 480,467,170,197.84/795,412
  6. Step 6: Final answer
    x = 604,048.18

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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.