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Finding the Fourth Proportional to 346,806.54, 478,643.85 and 203,644.98

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Solution

The fourth proportional to 346,806.54, 478,643.85 and 203,644.98 is: 281,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,806.54 : 478,643.85 = 203,644.98 : x
  2. Step 2: Convert to fraction form
    346,806.54/478,643.85 = 203,644.98/x
  3. Step 3: Cross multiply
    346,806.54x = 478,643.85 × 203,644.98
  4. Step 4: Simplify right side
    346,806.54x = 97,473,417,260.37
  5. Step 5: Solve for x
    x = 97,473,417,260.37/346,806.54
  6. Step 6: Final answer
    x = 281,059.92

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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.