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Finding the Fourth Proportional to 434,528.60, 651,857.70 and 154,023.80

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Solution

The fourth proportional to 434,528.60, 651,857.70 and 154,023.80 is: 231,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,528.60 : 651,857.70 = 154,023.80 : x
  2. Step 2: Convert to fraction form
    434,528.60/651,857.70 = 154,023.80/x
  3. Step 3: Cross multiply
    434,528.60x = 651,857.70 × 154,023.80
  4. Step 4: Simplify right side
    434,528.60x = 100,401,600,013.26
  5. Step 5: Solve for x
    x = 100,401,600,013.26/434,528.60
  6. Step 6: Final answer
    x = 231,058.67

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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.