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Finding the Fourth Proportional to 384,795.18, 577,202.85 and 182,343.78

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Solution

The fourth proportional to 384,795.18, 577,202.85 and 182,343.78 is: 273,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,795.18 : 577,202.85 = 182,343.78 : x
  2. Step 2: Convert to fraction form
    384,795.18/577,202.85 = 182,343.78/x
  3. Step 3: Cross multiply
    384,795.18x = 577,202.85 × 182,343.78
  4. Step 4: Simplify right side
    384,795.18x = 105,249,349,495.77
  5. Step 5: Solve for x
    x = 105,249,349,495.77/384,795.18
  6. Step 6: Final answer
    x = 273,520.45

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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.