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Finding the Fourth Proportional to 434,682.90, 651,564.16 and 146,219.94

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Solution

The fourth proportional to 434,682.90, 651,564.16 and 146,219.94 is: 219,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,682.90 : 651,564.16 = 146,219.94 : x
  2. Step 2: Convert to fraction form
    434,682.90/651,564.16 = 146,219.94/x
  3. Step 3: Cross multiply
    434,682.90x = 651,564.16 × 146,219.94
  4. Step 4: Simplify right side
    434,682.90x = 95,271,672,381.35
  5. Step 5: Solve for x
    x = 95,271,672,381.35/434,682.90
  6. Step 6: Final answer
    x = 219,175.11

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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.