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Finding the Fourth Proportional to 464,878.30, 697,316.32 and 262,382.61

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Solution

The fourth proportional to 464,878.30, 697,316.32 and 262,382.61 is: 393,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,878.30 : 697,316.32 = 262,382.61 : x
  2. Step 2: Convert to fraction form
    464,878.30/697,316.32 = 262,382.61/x
  3. Step 3: Cross multiply
    464,878.30x = 697,316.32 × 262,382.61
  4. Step 4: Simplify right side
    464,878.30x = 182,963,676,037.20
  5. Step 5: Solve for x
    x = 182,963,676,037.20/464,878.30
  6. Step 6: Final answer
    x = 393,573.28

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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.