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Finding the Fourth Proportional to 507,654.58, 700,474.44 and 289,763.74

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Solution

The fourth proportional to 507,654.58, 700,474.44 and 289,763.74 is: 399,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,654.58 : 700,474.44 = 289,763.74 : x
  2. Step 2: Convert to fraction form
    507,654.58/700,474.44 = 289,763.74/x
  3. Step 3: Cross multiply
    507,654.58x = 700,474.44 × 289,763.74
  4. Step 4: Simplify right side
    507,654.58x = 202,972,093,508.81
  5. Step 5: Solve for x
    x = 202,972,093,508.81/507,654.58
  6. Step 6: Final answer
    x = 399,823.23

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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.