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Finding the Fourth Proportional to 385,732.64, 578,190.72 and 175,518.20

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Solution

The fourth proportional to 385,732.64, 578,190.72 and 175,518.20 is: 263,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.64 : 578,190.72 = 175,518.20 : x
  2. Step 2: Convert to fraction form
    385,732.64/578,190.72 = 175,518.20/x
  3. Step 3: Cross multiply
    385,732.64x = 578,190.72 × 175,518.20
  4. Step 4: Simplify right side
    385,732.64x = 101,482,994,431.10
  5. Step 5: Solve for x
    x = 101,482,994,431.10/385,732.64
  6. Step 6: Final answer
    x = 263,091.54

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Why These Related Problems?

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