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Finding the Fourth Proportional to 492,324, 734,621.76 and 462,230.88

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Solution

The fourth proportional to 492,324, 734,621.76 and 462,230.88 is: 689,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,324 : 734,621.76 = 462,230.88 : x
  2. Step 2: Convert to fraction form
    492,324/734,621.76 = 462,230.88/x
  3. Step 3: Cross multiply
    492,324x = 734,621.76 × 462,230.88
  4. Step 4: Simplify right side
    492,324x = 339,564,862,591.95
  5. Step 5: Solve for x
    x = 339,564,862,591.95/492,324
  6. Step 6: Final answer
    x = 689,718.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.