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Finding the Fourth Proportional to 346,008, 519,012.48 and 83,352

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Solution

The fourth proportional to 346,008, 519,012.48 and 83,352 is: 125,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,008 : 519,012.48 = 83,352 : x
  2. Step 2: Convert to fraction form
    346,008/519,012.48 = 83,352/x
  3. Step 3: Cross multiply
    346,008x = 519,012.48 × 83,352
  4. Step 4: Simplify right side
    346,008x = 43,260,728,232.96
  5. Step 5: Solve for x
    x = 43,260,728,232.96/346,008
  6. Step 6: Final answer
    x = 125,028.12

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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.