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Finding the Fourth Proportional to 468,009.90, 702,014.85 and 413,772.30

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Solution

The fourth proportional to 468,009.90, 702,014.85 and 413,772.30 is: 620,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,009.90 : 702,014.85 = 413,772.30 : x
  2. Step 2: Convert to fraction form
    468,009.90/702,014.85 = 413,772.30/x
  3. Step 3: Cross multiply
    468,009.90x = 702,014.85 × 413,772.30
  4. Step 4: Simplify right side
    468,009.90x = 290,474,299,118.66
  5. Step 5: Solve for x
    x = 290,474,299,118.66/468,009.90
  6. Step 6: Final answer
    x = 620,658.45

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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.