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Finding the Fourth Proportional to 431,993, 596,148.72 and 240,995

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Solution

The fourth proportional to 431,993, 596,148.72 and 240,995 is: 332,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,993 : 596,148.72 = 240,995 : x
  2. Step 2: Convert to fraction form
    431,993/596,148.72 = 240,995/x
  3. Step 3: Cross multiply
    431,993x = 596,148.72 × 240,995
  4. Step 4: Simplify right side
    431,993x = 143,668,860,776.40
  5. Step 5: Solve for x
    x = 143,668,860,776.40/431,993
  6. Step 6: Final answer
    x = 332,572.20

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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.