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Finding the Fourth Proportional to 397,325.52, 596,379.96 and 291,848.40

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Solution

The fourth proportional to 397,325.52, 596,379.96 and 291,848.40 is: 438,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,325.52 : 596,379.96 = 291,848.40 : x
  2. Step 2: Convert to fraction form
    397,325.52/596,379.96 = 291,848.40/x
  3. Step 3: Cross multiply
    397,325.52x = 596,379.96 × 291,848.40
  4. Step 4: Simplify right side
    397,325.52x = 174,052,537,118.06
  5. Step 5: Solve for x
    x = 174,052,537,118.06/397,325.52
  6. Step 6: Final answer
    x = 438,060.30

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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.