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Finding the Fourth Proportional to 416,657.76, 573,597.36 and 397,616.28

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Solution

The fourth proportional to 416,657.76, 573,597.36 and 397,616.28 is: 547,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,657.76 : 573,597.36 = 397,616.28 : x
  2. Step 2: Convert to fraction form
    416,657.76/573,597.36 = 397,616.28/x
  3. Step 3: Cross multiply
    416,657.76x = 573,597.36 × 397,616.28
  4. Step 4: Simplify right side
    416,657.76x = 228,071,648,501.02
  5. Step 5: Solve for x
    x = 228,071,648,501.02/416,657.76
  6. Step 6: Final answer
    x = 547,383.66

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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.