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Finding the Fourth Proportional to 312,503.47, 468,928.95 and 152,581.37

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Solution

The fourth proportional to 312,503.47, 468,928.95 and 152,581.37 is: 228,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,503.47 : 468,928.95 = 152,581.37 : x
  2. Step 2: Convert to fraction form
    312,503.47/468,928.95 = 152,581.37/x
  3. Step 3: Cross multiply
    312,503.47x = 468,928.95 × 152,581.37
  4. Step 4: Simplify right side
    312,503.47x = 71,549,821,344.56
  5. Step 5: Solve for x
    x = 71,549,821,344.56/312,503.47
  6. Step 6: Final answer
    x = 228,956.89

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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.