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Finding the Fourth Proportional to 697,539.52, 962,636.16 and 411,071.68

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Solution

The fourth proportional to 697,539.52, 962,636.16 and 411,071.68 is: 567,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,539.52 : 962,636.16 = 411,071.68 : x
  2. Step 2: Convert to fraction form
    697,539.52/962,636.16 = 411,071.68/x
  3. Step 3: Cross multiply
    697,539.52x = 962,636.16 × 411,071.68
  4. Step 4: Simplify right side
    697,539.52x = 395,712,463,519.95
  5. Step 5: Solve for x
    x = 395,712,463,519.95/697,539.52
  6. Step 6: Final answer
    x = 567,297.55

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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.