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Finding the Fourth Proportional to 346,538.56, 478,223.16 and 187,562.56

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Solution

The fourth proportional to 346,538.56, 478,223.16 and 187,562.56 is: 258,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,538.56 : 478,223.16 = 187,562.56 : x
  2. Step 2: Convert to fraction form
    346,538.56/478,223.16 = 187,562.56/x
  3. Step 3: Cross multiply
    346,538.56x = 478,223.16 × 187,562.56
  4. Step 4: Simplify right side
    346,538.56x = 89,696,760,140.89
  5. Step 5: Solve for x
    x = 89,696,760,140.89/346,538.56
  6. Step 6: Final answer
    x = 258,836.30

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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.