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Finding the Fourth Proportional to 537,762.29, 807,142.19 and 271,709.64

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Solution

The fourth proportional to 537,762.29, 807,142.19 and 271,709.64 is: 407,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,762.29 : 807,142.19 = 271,709.64 : x
  2. Step 2: Convert to fraction form
    537,762.29/807,142.19 = 271,709.64/x
  3. Step 3: Cross multiply
    537,762.29x = 807,142.19 × 271,709.64
  4. Step 4: Simplify right side
    537,762.29x = 219,308,312,515.16
  5. Step 5: Solve for x
    x = 219,308,312,515.16/537,762.29
  6. Step 6: Final answer
    x = 407,816.46

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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.