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Finding the Fourth Proportional to 500,954.19, 749,657.49 and 311,503.77

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Solution

The fourth proportional to 500,954.19, 749,657.49 and 311,503.77 is: 466,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,954.19 : 749,657.49 = 311,503.77 : x
  2. Step 2: Convert to fraction form
    500,954.19/749,657.49 = 311,503.77/x
  3. Step 3: Cross multiply
    500,954.19x = 749,657.49 × 311,503.77
  4. Step 4: Simplify right side
    500,954.19x = 233,521,134,343.74
  5. Step 5: Solve for x
    x = 233,521,134,343.74/500,954.19
  6. Step 6: Final answer
    x = 466,152.67

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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.