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Finding the Fourth Proportional to 967,014, 1,450,177.76 and 283,710.16

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Solution

The fourth proportional to 967,014, 1,450,177.76 and 283,710.16 is: 425,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,014 : 1,450,177.76 = 283,710.16 : x
  2. Step 2: Convert to fraction form
    967,014/1,450,177.76 = 283,710.16/x
  3. Step 3: Cross multiply
    967,014x = 1,450,177.76 × 283,710.16
  4. Step 4: Simplify right side
    967,014x = 411,430,164,318.04
  5. Step 5: Solve for x
    x = 411,430,164,318.04/967,014
  6. Step 6: Final answer
    x = 425,464.54

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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.