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Finding the Fourth Proportional to 434,722.60, 652,199.10 and 154,210.60

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Solution

The fourth proportional to 434,722.60, 652,199.10 and 154,210.60 is: 231,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,722.60 : 652,199.10 = 154,210.60 : x
  2. Step 2: Convert to fraction form
    434,722.60/652,199.10 = 154,210.60/x
  3. Step 3: Cross multiply
    434,722.60x = 652,199.10 × 154,210.60
  4. Step 4: Simplify right side
    434,722.60x = 100,576,014,530.46
  5. Step 5: Solve for x
    x = 100,576,014,530.46/434,722.60
  6. Step 6: Final answer
    x = 231,356.77

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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.