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Finding the Fourth Proportional to 382,356.81, 573,533.30 and 98,046.09

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Solution

The fourth proportional to 382,356.81, 573,533.30 and 98,046.09 is: 147,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,356.81 : 573,533.30 = 98,046.09 : x
  2. Step 2: Convert to fraction form
    382,356.81/573,533.30 = 98,046.09/x
  3. Step 3: Cross multiply
    382,356.81x = 573,533.30 × 98,046.09
  4. Step 4: Simplify right side
    382,356.81x = 56,232,697,059.57
  5. Step 5: Solve for x
    x = 56,232,697,059.57/382,356.81
  6. Step 6: Final answer
    x = 147,068.64

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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.