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Finding the Fourth Proportional to 282,782.40, 390,239.64 and 155,466.24

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Solution

The fourth proportional to 282,782.40, 390,239.64 and 155,466.24 is: 214,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,782.40 : 390,239.64 = 155,466.24 : x
  2. Step 2: Convert to fraction form
    282,782.40/390,239.64 = 155,466.24/x
  3. Step 3: Cross multiply
    282,782.40x = 390,239.64 × 155,466.24
  4. Step 4: Simplify right side
    282,782.40x = 60,669,089,529.75
  5. Step 5: Solve for x
    x = 60,669,089,529.75/282,782.40
  6. Step 6: Final answer
    x = 214,543.37

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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.