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Finding the Fourth Proportional to 507,833.56, 700,833.06 and 290,061.16

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Solution

The fourth proportional to 507,833.56, 700,833.06 and 290,061.16 is: 400,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,833.56 : 700,833.06 = 290,061.16 : x
  2. Step 2: Convert to fraction form
    507,833.56/700,833.06 = 290,061.16/x
  3. Step 3: Cross multiply
    507,833.56x = 700,833.06 × 290,061.16
  4. Step 4: Simplify right side
    507,833.56x = 203,284,450,349.95
  5. Step 5: Solve for x
    x = 203,284,450,349.95/507,833.56
  6. Step 6: Final answer
    x = 400,297.39

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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.