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Finding the Fourth Proportional to 286,427.30, 429,531.60 and 86,681.30

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Solution

The fourth proportional to 286,427.30, 429,531.60 and 86,681.30 is: 129,988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,427.30 : 429,531.60 = 86,681.30 : x
  2. Step 2: Convert to fraction form
    286,427.30/429,531.60 = 86,681.30/x
  3. Step 3: Cross multiply
    286,427.30x = 429,531.60 × 86,681.30
  4. Step 4: Simplify right side
    286,427.30x = 37,232,357,479.08
  5. Step 5: Solve for x
    x = 37,232,357,479.08/286,427.30
  6. Step 6: Final answer
    x = 129,988.86

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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.