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Finding the Fourth Proportional to 537,804.32, 742,141.76 and 296,039.67

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Solution

The fourth proportional to 537,804.32, 742,141.76 and 296,039.67 is: 408,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,804.32 : 742,141.76 = 296,039.67 : x
  2. Step 2: Convert to fraction form
    537,804.32/742,141.76 = 296,039.67/x
  3. Step 3: Cross multiply
    537,804.32x = 742,141.76 × 296,039.67
  4. Step 4: Simplify right side
    537,804.32x = 219,703,401,723.62
  5. Step 5: Solve for x
    x = 219,703,401,723.62/537,804.32
  6. Step 6: Final answer
    x = 408,519.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.