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Finding the Fourth Proportional to 434,693.40, 652,040.10 and 397,368.60

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Solution

The fourth proportional to 434,693.40, 652,040.10 and 397,368.60 is: 596,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,693.40 : 652,040.10 = 397,368.60 : x
  2. Step 2: Convert to fraction form
    434,693.40/652,040.10 = 397,368.60/x
  3. Step 3: Cross multiply
    434,693.40x = 652,040.10 × 397,368.60
  4. Step 4: Simplify right side
    434,693.40x = 259,100,261,680.86
  5. Step 5: Solve for x
    x = 259,100,261,680.86/434,693.40
  6. Step 6: Final answer
    x = 596,052.90

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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.