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Finding the Fourth Proportional to 767,674.77, 1,149,970.01 and 382,262.50

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Solution

The fourth proportional to 767,674.77, 1,149,970.01 and 382,262.50 is: 572,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,674.77 : 1,149,970.01 = 382,262.50 : x
  2. Step 2: Convert to fraction form
    767,674.77/1,149,970.01 = 382,262.50/x
  3. Step 3: Cross multiply
    767,674.77x = 1,149,970.01 × 382,262.50
  4. Step 4: Simplify right side
    767,674.77x = 439,590,409,028.36
  5. Step 5: Solve for x
    x = 439,590,409,028.36/767,674.77
  6. Step 6: Final answer
    x = 572,625.84

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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.