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Finding the Fourth Proportional to 650,754.49, 974,860.44 and 448,314.84

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Solution

The fourth proportional to 650,754.49, 974,860.44 and 448,314.84 is: 671,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,754.49 : 974,860.44 = 448,314.84 : x
  2. Step 2: Convert to fraction form
    650,754.49/974,860.44 = 448,314.84/x
  3. Step 3: Cross multiply
    650,754.49x = 974,860.44 × 448,314.84
  4. Step 4: Simplify right side
    650,754.49x = 437,044,402,180.93
  5. Step 5: Solve for x
    x = 437,044,402,180.93/650,754.49
  6. Step 6: Final answer
    x = 671,596.45

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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.