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Finding the Fourth Proportional to 302,835.78, 414,886.50 and 291,485.16

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Solution

The fourth proportional to 302,835.78, 414,886.50 and 291,485.16 is: 399,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,835.78 : 414,886.50 = 291,485.16 : x
  2. Step 2: Convert to fraction form
    302,835.78/414,886.50 = 291,485.16/x
  3. Step 3: Cross multiply
    302,835.78x = 414,886.50 × 291,485.16
  4. Step 4: Simplify right side
    302,835.78x = 120,933,257,834.34
  5. Step 5: Solve for x
    x = 120,933,257,834.34/302,835.78
  6. Step 6: Final answer
    x = 399,336.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.