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Finding the Fourth Proportional to 518,329.16, 776,961.06 and 198,406

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Solution

The fourth proportional to 518,329.16, 776,961.06 and 198,406 is: 297,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,329.16 : 776,961.06 = 198,406 : x
  2. Step 2: Convert to fraction form
    518,329.16/776,961.06 = 198,406/x
  3. Step 3: Cross multiply
    518,329.16x = 776,961.06 × 198,406
  4. Step 4: Simplify right side
    518,329.16x = 154,153,736,070.36
  5. Step 5: Solve for x
    x = 154,153,736,070.36/518,329.16
  6. Step 6: Final answer
    x = 297,405.10

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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.