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Finding the Fourth Proportional to 507,915.40, 700,771.62 and 293,051.56

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Solution

The fourth proportional to 507,915.40, 700,771.62 and 293,051.56 is: 404,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,915.40 : 700,771.62 = 293,051.56 : x
  2. Step 2: Convert to fraction form
    507,915.40/700,771.62 = 293,051.56/x
  3. Step 3: Cross multiply
    507,915.40x = 700,771.62 × 293,051.56
  4. Step 4: Simplify right side
    507,915.40x = 205,362,216,444.73
  5. Step 5: Solve for x
    x = 205,362,216,444.73/507,915.40
  6. Step 6: Final answer
    x = 404,323.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.