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Finding the Fourth Proportional to 462,962.54, 694,438.86 and 351,328.34

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Solution

The fourth proportional to 462,962.54, 694,438.86 and 351,328.34 is: 526,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,962.54 : 694,438.86 = 351,328.34 : x
  2. Step 2: Convert to fraction form
    462,962.54/694,438.86 = 351,328.34/x
  3. Step 3: Cross multiply
    462,962.54x = 694,438.86 × 351,328.34
  4. Step 4: Simplify right side
    462,962.54x = 243,976,051,915.29
  5. Step 5: Solve for x
    x = 243,976,051,915.29/462,962.54
  6. Step 6: Final answer
    x = 526,988.75

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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.