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Finding the Fourth Proportional to 467,093.34, 701,485.65 and 429,586.29

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Solution

The fourth proportional to 467,093.34, 701,485.65 and 429,586.29 is: 645,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,093.34 : 701,485.65 = 429,586.29 : x
  2. Step 2: Convert to fraction form
    467,093.34/701,485.65 = 429,586.29/x
  3. Step 3: Cross multiply
    467,093.34x = 701,485.65 × 429,586.29
  4. Step 4: Simplify right side
    467,093.34x = 301,348,617,871.74
  5. Step 5: Solve for x
    x = 301,348,617,871.74/467,093.34
  6. Step 6: Final answer
    x = 645,157.17

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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.