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Finding the Fourth Proportional to 650,702.50, 974,782.53 and 448,262.84

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Solution

The fourth proportional to 650,702.50, 974,782.53 and 448,262.84 is: 671,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,702.50 : 974,782.53 = 448,262.84 : x
  2. Step 2: Convert to fraction form
    650,702.50/974,782.53 = 448,262.84/x
  3. Step 3: Cross multiply
    650,702.50x = 974,782.53 × 448,262.84
  4. Step 4: Simplify right side
    650,702.50x = 436,958,787,717.14
  5. Step 5: Solve for x
    x = 436,958,787,717.14/650,702.50
  6. Step 6: Final answer
    x = 671,518.53

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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.