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Finding the Fourth Proportional to 434,096.76, 652,143.22 and 306,307.24

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Solution

The fourth proportional to 434,096.76, 652,143.22 and 306,307.24 is: 460,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,096.76 : 652,143.22 = 306,307.24 : x
  2. Step 2: Convert to fraction form
    434,096.76/652,143.22 = 306,307.24/x
  3. Step 3: Cross multiply
    434,096.76x = 652,143.22 × 306,307.24
  4. Step 4: Simplify right side
    434,096.76x = 199,756,189,802.91
  5. Step 5: Solve for x
    x = 199,756,189,802.91/434,096.76
  6. Step 6: Final answer
    x = 460,165.12

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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.