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Finding the Fourth Proportional to 512,506.89, 707,303.25 and 286,196.13

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Solution

The fourth proportional to 512,506.89, 707,303.25 and 286,196.13 is: 394,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,506.89 : 707,303.25 = 286,196.13 : x
  2. Step 2: Convert to fraction form
    512,506.89/707,303.25 = 286,196.13/x
  3. Step 3: Cross multiply
    512,506.89x = 707,303.25 × 286,196.13
  4. Step 4: Simplify right side
    512,506.89x = 202,427,452,886.42
  5. Step 5: Solve for x
    x = 202,427,452,886.42/512,506.89
  6. Step 6: Final answer
    x = 394,975.09

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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.