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Finding the Fourth Proportional to 354,357.42, 489,069.32 and 211,200.50

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Solution

The fourth proportional to 354,357.42, 489,069.32 and 211,200.50 is: 291,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,357.42 : 489,069.32 = 211,200.50 : x
  2. Step 2: Convert to fraction form
    354,357.42/489,069.32 = 211,200.50/x
  3. Step 3: Cross multiply
    354,357.42x = 489,069.32 × 211,200.50
  4. Step 4: Simplify right side
    354,357.42x = 103,291,681,417.31
  5. Step 5: Solve for x
    x = 103,291,681,417.31/354,357.42
  6. Step 6: Final answer
    x = 291,490.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.