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Finding the Fourth Proportional to 530,159.40, 794,720.70 and 214,194.60

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Solution

The fourth proportional to 530,159.40, 794,720.70 and 214,194.60 is: 321,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,159.40 : 794,720.70 = 214,194.60 : x
  2. Step 2: Convert to fraction form
    530,159.40/794,720.70 = 214,194.60/x
  3. Step 3: Cross multiply
    530,159.40x = 794,720.70 × 214,194.60
  4. Step 4: Simplify right side
    530,159.40x = 170,224,882,448.22
  5. Step 5: Solve for x
    x = 170,224,882,448.22/530,159.40
  6. Step 6: Final answer
    x = 321,082.46

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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.