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Finding the Fourth Proportional to 610,597.86, 842,073.48 and 381,176.32

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Solution

The fourth proportional to 610,597.86, 842,073.48 and 381,176.32 is: 525,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,597.86 : 842,073.48 = 381,176.32 : x
  2. Step 2: Convert to fraction form
    610,597.86/842,073.48 = 381,176.32/x
  3. Step 3: Cross multiply
    610,597.86x = 842,073.48 × 381,176.32
  4. Step 4: Simplify right side
    610,597.86x = 320,978,470,275.99
  5. Step 5: Solve for x
    x = 320,978,470,275.99/610,597.86
  6. Step 6: Final answer
    x = 525,679.00

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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.