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Finding the Fourth Proportional to 382,088.34, 527,267.48 and 212,333.40

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Solution

The fourth proportional to 382,088.34, 527,267.48 and 212,333.40 is: 293,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,088.34 : 527,267.48 = 212,333.40 : x
  2. Step 2: Convert to fraction form
    382,088.34/527,267.48 = 212,333.40/x
  3. Step 3: Cross multiply
    382,088.34x = 527,267.48 × 212,333.40
  4. Step 4: Simplify right side
    382,088.34x = 111,956,495,676.17
  5. Step 5: Solve for x
    x = 111,956,495,676.17/382,088.34
  6. Step 6: Final answer
    x = 293,012.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.