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Finding the Fourth Proportional to 233,153.70, 349,730.55 and 214,782.90

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Solution

The fourth proportional to 233,153.70, 349,730.55 and 214,782.90 is: 322,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,153.70 : 349,730.55 = 214,782.90 : x
  2. Step 2: Convert to fraction form
    233,153.70/349,730.55 = 214,782.90/x
  3. Step 3: Cross multiply
    233,153.70x = 349,730.55 × 214,782.90
  4. Step 4: Simplify right side
    233,153.70x = 75,116,141,747.60
  5. Step 5: Solve for x
    x = 75,116,141,747.60/233,153.70
  6. Step 6: Final answer
    x = 322,174.35

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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.