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Finding the Fourth Proportional to 402,504.50, 555,444.50 and 230,416.66

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Solution

The fourth proportional to 402,504.50, 555,444.50 and 230,416.66 is: 317,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,504.50 : 555,444.50 = 230,416.66 : x
  2. Step 2: Convert to fraction form
    402,504.50/555,444.50 = 230,416.66/x
  3. Step 3: Cross multiply
    402,504.50x = 555,444.50 × 230,416.66
  4. Step 4: Simplify right side
    402,504.50x = 127,983,663,728.15
  5. Step 5: Solve for x
    x = 127,983,663,728.15/402,504.50
  6. Step 6: Final answer
    x = 317,968.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.