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Finding the Fourth Proportional to 419,074.19, 578,322.35 and 228,088.95

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Solution

The fourth proportional to 419,074.19, 578,322.35 and 228,088.95 is: 314,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,074.19 : 578,322.35 = 228,088.95 : x
  2. Step 2: Convert to fraction form
    419,074.19/578,322.35 = 228,088.95/x
  3. Step 3: Cross multiply
    419,074.19x = 578,322.35 × 228,088.95
  4. Step 4: Simplify right side
    419,074.19x = 131,908,937,573.03
  5. Step 5: Solve for x
    x = 131,908,937,573.03/419,074.19
  6. Step 6: Final answer
    x = 314,762.73

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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.