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Finding the Fourth Proportional to 421,314.50, 581,339.27 and 249,239.72

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Solution

The fourth proportional to 421,314.50, 581,339.27 and 249,239.72 is: 343,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,314.50 : 581,339.27 = 249,239.72 : x
  2. Step 2: Convert to fraction form
    421,314.50/581,339.27 = 249,239.72/x
  3. Step 3: Cross multiply
    421,314.50x = 581,339.27 × 249,239.72
  4. Step 4: Simplify right side
    421,314.50x = 144,892,834,596.21
  5. Step 5: Solve for x
    x = 144,892,834,596.21/421,314.50
  6. Step 6: Final answer
    x = 343,906.59

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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.