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Finding the Fourth Proportional to 346,476.39, 478,141.08 and 203,238.82

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Solution

The fourth proportional to 346,476.39, 478,141.08 and 203,238.82 is: 280,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,476.39 : 478,141.08 = 203,238.82 : x
  2. Step 2: Convert to fraction form
    346,476.39/478,141.08 = 203,238.82/x
  3. Step 3: Cross multiply
    346,476.39x = 478,141.08 × 203,238.82
  4. Step 4: Simplify right side
    346,476.39x = 97,176,828,728.26
  5. Step 5: Solve for x
    x = 97,176,828,728.26/346,476.39
  6. Step 6: Final answer
    x = 280,471.72

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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.