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Finding the Fourth Proportional to 434,714.10, 652,103.55 and 154,194.90

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Solution

The fourth proportional to 434,714.10, 652,103.55 and 154,194.90 is: 231,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,714.10 : 652,103.55 = 154,194.90 : x
  2. Step 2: Convert to fraction form
    434,714.10/652,103.55 = 154,194.90/x
  3. Step 3: Cross multiply
    434,714.10x = 652,103.55 × 154,194.90
  4. Step 4: Simplify right side
    434,714.10x = 100,551,041,681.90
  5. Step 5: Solve for x
    x = 100,551,041,681.90/434,714.10
  6. Step 6: Final answer
    x = 231,303.84

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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.