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Finding the Fourth Proportional to 346,208.46, 519,307.31 and 177,631.50

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Solution

The fourth proportional to 346,208.46, 519,307.31 and 177,631.50 is: 266,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,208.46 : 519,307.31 = 177,631.50 : x
  2. Step 2: Convert to fraction form
    346,208.46/519,307.31 = 177,631.50/x
  3. Step 3: Cross multiply
    346,208.46x = 519,307.31 × 177,631.50
  4. Step 4: Simplify right side
    346,208.46x = 92,245,335,548.11
  5. Step 5: Solve for x
    x = 92,245,335,548.11/346,208.46
  6. Step 6: Final answer
    x = 266,444.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.