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Finding the Fourth Proportional to 346,956.44, 478,653.24 and 232,272.02

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Solution

The fourth proportional to 346,956.44, 478,653.24 and 232,272.02 is: 320,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,956.44 : 478,653.24 = 232,272.02 : x
  2. Step 2: Convert to fraction form
    346,956.44/478,653.24 = 232,272.02/x
  3. Step 3: Cross multiply
    346,956.44x = 478,653.24 × 232,272.02
  4. Step 4: Simplify right side
    346,956.44x = 111,177,752,541.08
  5. Step 5: Solve for x
    x = 111,177,752,541.08/346,956.44
  6. Step 6: Final answer
    x = 320,437.21

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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.