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Finding the Fourth Proportional to 435,311.10, 652,572.96 and 154,762.74

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Solution

The fourth proportional to 435,311.10, 652,572.96 and 154,762.74 is: 232,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,311.10 : 652,572.96 = 154,762.74 : x
  2. Step 2: Convert to fraction form
    435,311.10/652,572.96 = 154,762.74/x
  3. Step 3: Cross multiply
    435,311.10x = 652,572.96 × 154,762.74
  4. Step 4: Simplify right side
    435,311.10x = 100,993,979,339.51
  5. Step 5: Solve for x
    x = 100,993,979,339.51/435,311.10
  6. Step 6: Final answer
    x = 232,004.14

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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.