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Finding the Fourth Proportional to 282,977, 390,563.72 and 162,199.24

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Solution

The fourth proportional to 282,977, 390,563.72 and 162,199.24 is: 223,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,977 : 390,563.72 = 162,199.24 : x
  2. Step 2: Convert to fraction form
    282,977/390,563.72 = 162,199.24/x
  3. Step 3: Cross multiply
    282,977x = 390,563.72 × 162,199.24
  4. Step 4: Simplify right side
    282,977x = 63,349,138,555.57
  5. Step 5: Solve for x
    x = 63,349,138,555.57/282,977
  6. Step 6: Final answer
    x = 223,866.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.