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Finding the Fourth Proportional to 434,577.80, 652,158.30 and 256,896.20

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Solution

The fourth proportional to 434,577.80, 652,158.30 and 256,896.20 is: 385,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,577.80 : 652,158.30 = 256,896.20 : x
  2. Step 2: Convert to fraction form
    434,577.80/652,158.30 = 256,896.20/x
  3. Step 3: Cross multiply
    434,577.80x = 652,158.30 × 256,896.20
  4. Step 4: Simplify right side
    434,577.80x = 167,536,989,068.46
  5. Step 5: Solve for x
    x = 167,536,989,068.46/434,577.80
  6. Step 6: Final answer
    x = 385,516.68

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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.