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Finding the Fourth Proportional to 329,081.40, 493,622.10 and 282,425.40

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Solution

The fourth proportional to 329,081.40, 493,622.10 and 282,425.40 is: 423,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,081.40 : 493,622.10 = 282,425.40 : x
  2. Step 2: Convert to fraction form
    329,081.40/493,622.10 = 282,425.40/x
  3. Step 3: Cross multiply
    329,081.40x = 493,622.10 × 282,425.40
  4. Step 4: Simplify right side
    329,081.40x = 139,411,419,041.34
  5. Step 5: Solve for x
    x = 139,411,419,041.34/329,081.40
  6. Step 6: Final answer
    x = 423,638.10

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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.