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Finding the Fourth Proportional to 462,435.58, 693,180.40 and 234,308.60

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Solution

The fourth proportional to 462,435.58, 693,180.40 and 234,308.60 is: 351,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,435.58 : 693,180.40 = 234,308.60 : x
  2. Step 2: Convert to fraction form
    462,435.58/693,180.40 = 234,308.60/x
  3. Step 3: Cross multiply
    462,435.58x = 693,180.40 × 234,308.60
  4. Step 4: Simplify right side
    462,435.58x = 162,418,129,071.44
  5. Step 5: Solve for x
    x = 162,418,129,071.44/462,435.58
  6. Step 6: Final answer
    x = 351,223.25

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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.