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Finding the Fourth Proportional to 795,232, 1,097,420.16 and 437,536

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Solution

The fourth proportional to 795,232, 1,097,420.16 and 437,536 is: 603,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,232 : 1,097,420.16 = 437,536 : x
  2. Step 2: Convert to fraction form
    795,232/1,097,420.16 = 437,536/x
  3. Step 3: Cross multiply
    795,232x = 1,097,420.16 × 437,536
  4. Step 4: Simplify right side
    795,232x = 480,160,827,125.76
  5. Step 5: Solve for x
    x = 480,160,827,125.76/795,232
  6. Step 6: Final answer
    x = 603,799.68

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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.