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Finding the Fourth Proportional to 419,038.50, 578,262.04 and 228,047.80

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Solution

The fourth proportional to 419,038.50, 578,262.04 and 228,047.80 is: 314,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,038.50 : 578,262.04 = 228,047.80 : x
  2. Step 2: Convert to fraction form
    419,038.50/578,262.04 = 228,047.80/x
  3. Step 3: Cross multiply
    419,038.50x = 578,262.04 × 228,047.80
  4. Step 4: Simplify right side
    419,038.50x = 131,871,386,045.51
  5. Step 5: Solve for x
    x = 131,871,386,045.51/419,038.50
  6. Step 6: Final answer
    x = 314,699.93

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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.