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Finding the Fourth Proportional to 650,706.26, 974,788.16 and 448,266.60

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Solution

The fourth proportional to 650,706.26, 974,788.16 and 448,266.60 is: 671,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,706.26 : 974,788.16 = 448,266.60 : x
  2. Step 2: Convert to fraction form
    650,706.26/974,788.16 = 448,266.60/x
  3. Step 3: Cross multiply
    650,706.26x = 974,788.16 × 448,266.60
  4. Step 4: Simplify right side
    650,706.26x = 436,964,971,962.12
  5. Step 5: Solve for x
    x = 436,964,971,962.12/650,706.26
  6. Step 6: Final answer
    x = 671,524.16

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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.