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Finding the Fourth Proportional to 314,543.94, 471,476.52 and 154,433.67

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Solution

The fourth proportional to 314,543.94, 471,476.52 and 154,433.67 is: 231,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,543.94 : 471,476.52 = 154,433.67 : x
  2. Step 2: Convert to fraction form
    314,543.94/471,476.52 = 154,433.67/x
  3. Step 3: Cross multiply
    314,543.94x = 471,476.52 × 154,433.67
  4. Step 4: Simplify right side
    314,543.94x = 72,811,849,302.43
  5. Step 5: Solve for x
    x = 72,811,849,302.43/314,543.94
  6. Step 6: Final answer
    x = 231,483.87

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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.