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Finding the Fourth Proportional to 346,036.40, 519,054.60 and 159,412.40

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Solution

The fourth proportional to 346,036.40, 519,054.60 and 159,412.40 is: 239,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,036.40 : 519,054.60 = 159,412.40 : x
  2. Step 2: Convert to fraction form
    346,036.40/519,054.60 = 159,412.40/x
  3. Step 3: Cross multiply
    346,036.40x = 519,054.60 × 159,412.40
  4. Step 4: Simplify right side
    346,036.40x = 82,743,739,517.04
  5. Step 5: Solve for x
    x = 82,743,739,517.04/346,036.40
  6. Step 6: Final answer
    x = 239,118.60

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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.