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Finding the Fourth Proportional to 385,381.80, 577,899.90 and 174,911.40

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Solution

The fourth proportional to 385,381.80, 577,899.90 and 174,911.40 is: 262,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,381.80 : 577,899.90 = 174,911.40 : x
  2. Step 2: Convert to fraction form
    385,381.80/577,899.90 = 174,911.40/x
  3. Step 3: Cross multiply
    385,381.80x = 577,899.90 × 174,911.40
  4. Step 4: Simplify right side
    385,381.80x = 101,081,280,568.86
  5. Step 5: Solve for x
    x = 101,081,280,568.86/385,381.80
  6. Step 6: Final answer
    x = 262,288.67

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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.