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Finding the Fourth Proportional to 460,590.30, 689,901.30 and 381,858.30

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Solution

The fourth proportional to 460,590.30, 689,901.30 and 381,858.30 is: 571,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,590.30 : 689,901.30 = 381,858.30 : x
  2. Step 2: Convert to fraction form
    460,590.30/689,901.30 = 381,858.30/x
  3. Step 3: Cross multiply
    460,590.30x = 689,901.30 × 381,858.30
  4. Step 4: Simplify right side
    460,590.30x = 263,444,537,585.79
  5. Step 5: Solve for x
    x = 263,444,537,585.79/460,590.30
  6. Step 6: Final answer
    x = 571,971.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.