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Finding the Fourth Proportional to 520,669.36, 780,112.40 and 284,178

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Solution

The fourth proportional to 520,669.36, 780,112.40 and 284,178 is: 425,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,669.36 : 780,112.40 = 284,178 : x
  2. Step 2: Convert to fraction form
    520,669.36/780,112.40 = 284,178/x
  3. Step 3: Cross multiply
    520,669.36x = 780,112.40 × 284,178
  4. Step 4: Simplify right side
    520,669.36x = 221,690,781,607.20
  5. Step 5: Solve for x
    x = 221,690,781,607.20/520,669.36
  6. Step 6: Final answer
    x = 425,780.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.