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Finding the Fourth Proportional to 346,275.84, 477,583.68 and 238,821.12

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Solution

The fourth proportional to 346,275.84, 477,583.68 and 238,821.12 is: 329,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,275.84 : 477,583.68 = 238,821.12 : x
  2. Step 2: Convert to fraction form
    346,275.84/477,583.68 = 238,821.12/x
  3. Step 3: Cross multiply
    346,275.84x = 477,583.68 × 238,821.12
  4. Step 4: Simplify right side
    346,275.84x = 114,057,069,351.32
  5. Step 5: Solve for x
    x = 114,057,069,351.32/346,275.84
  6. Step 6: Final answer
    x = 329,382.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.