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Finding the Fourth Proportional to 434,239.67, 651,407.63 and 149,898.01

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Solution

The fourth proportional to 434,239.67, 651,407.63 and 149,898.01 is: 224,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,239.67 : 651,407.63 = 149,898.01 : x
  2. Step 2: Convert to fraction form
    434,239.67/651,407.63 = 149,898.01/x
  3. Step 3: Cross multiply
    434,239.67x = 651,407.63 × 149,898.01
  4. Step 4: Simplify right side
    434,239.67x = 97,644,704,585.04
  5. Step 5: Solve for x
    x = 97,644,704,585.04/434,239.67
  6. Step 6: Final answer
    x = 224,863.62

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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.