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Finding the Fourth Proportional to 464,209, 695,233.50 and 451,438.60

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Solution

The fourth proportional to 464,209, 695,233.50 and 451,438.60 is: 676,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,209 : 695,233.50 = 451,438.60 : x
  2. Step 2: Convert to fraction form
    464,209/695,233.50 = 451,438.60/x
  3. Step 3: Cross multiply
    464,209x = 695,233.50 × 451,438.60
  4. Step 4: Simplify right side
    464,209x = 313,855,237,913.10
  5. Step 5: Solve for x
    x = 313,855,237,913.10/464,209
  6. Step 6: Final answer
    x = 676,107.61

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1.5x scale

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.