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Finding the Fourth Proportional to 435,577, 599,230.02 and 416,914.60

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Solution

The fourth proportional to 435,577, 599,230.02 and 416,914.60 is: 573,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,577 : 599,230.02 = 416,914.60 : x
  2. Step 2: Convert to fraction form
    435,577/599,230.02 = 416,914.60/x
  3. Step 3: Cross multiply
    435,577x = 599,230.02 × 416,914.60
  4. Step 4: Simplify right side
    435,577x = 249,827,744,096.29
  5. Step 5: Solve for x
    x = 249,827,744,096.29/435,577
  6. Step 6: Final answer
    x = 573,555.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.