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Finding the Fourth Proportional to 419,203.02, 578,482.02 and 228,217.08

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Solution

The fourth proportional to 419,203.02, 578,482.02 and 228,217.08 is: 314,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,203.02 : 578,482.02 = 228,217.08 : x
  2. Step 2: Convert to fraction form
    419,203.02/578,482.02 = 228,217.08/x
  3. Step 3: Cross multiply
    419,203.02x = 578,482.02 × 228,217.08
  4. Step 4: Simplify right side
    419,203.02x = 132,019,477,436.90
  5. Step 5: Solve for x
    x = 132,019,477,436.90/419,203.02
  6. Step 6: Final answer
    x = 314,929.69

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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.