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Finding the Fourth Proportional to 585,296.58, 877,267.16 and 269,089.86

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Solution

The fourth proportional to 585,296.58, 877,267.16 and 269,089.86 is: 403,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,296.58 : 877,267.16 = 269,089.86 : x
  2. Step 2: Convert to fraction form
    585,296.58/877,267.16 = 269,089.86/x
  3. Step 3: Cross multiply
    585,296.58x = 877,267.16 × 269,089.86
  4. Step 4: Simplify right side
    585,296.58x = 236,063,697,267.00
  5. Step 5: Solve for x
    x = 236,063,697,267.00/585,296.58
  6. Step 6: Final answer
    x = 403,323.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.