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Finding the Fourth Proportional to 482,035.76, 722,907.64 and 144,986.92

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Solution

The fourth proportional to 482,035.76, 722,907.64 and 144,986.92 is: 217,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,035.76 : 722,907.64 = 144,986.92 : x
  2. Step 2: Convert to fraction form
    482,035.76/722,907.64 = 144,986.92/x
  3. Step 3: Cross multiply
    482,035.76x = 722,907.64 × 144,986.92
  4. Step 4: Simplify right side
    482,035.76x = 104,812,152,168.07
  5. Step 5: Solve for x
    x = 104,812,152,168.07/482,035.76
  6. Step 6: Final answer
    x = 217,436.47

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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.