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Finding the Fourth Proportional to 795,417, 1,097,675.64 and 437,721

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Solution

The fourth proportional to 795,417, 1,097,675.64 and 437,721 is: 604,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,417 : 1,097,675.64 = 437,721 : x
  2. Step 2: Convert to fraction form
    795,417/1,097,675.64 = 437,721/x
  3. Step 3: Cross multiply
    795,417x = 1,097,675.64 × 437,721
  4. Step 4: Simplify right side
    795,417x = 480,475,678,816.44
  5. Step 5: Solve for x
    x = 480,475,678,816.44/795,417
  6. Step 6: Final answer
    x = 604,055.08

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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.