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Finding the Fourth Proportional to 401,034.64, 601,499.16 and 190,806.16

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Solution

The fourth proportional to 401,034.64, 601,499.16 and 190,806.16 is: 286,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,034.64 : 601,499.16 = 190,806.16 : x
  2. Step 2: Convert to fraction form
    401,034.64/601,499.16 = 190,806.16/x
  3. Step 3: Cross multiply
    401,034.64x = 601,499.16 × 190,806.16
  4. Step 4: Simplify right side
    401,034.64x = 114,769,744,962.83
  5. Step 5: Solve for x
    x = 114,769,744,962.83/401,034.64
  6. Step 6: Final answer
    x = 286,184.12

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Why These Related Problems?

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