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Finding the Fourth Proportional to 382,352.80, 572,362.80 and 340,362.40

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Solution

The fourth proportional to 382,352.80, 572,362.80 and 340,362.40 is: 509,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,352.80 : 572,362.80 = 340,362.40 : x
  2. Step 2: Convert to fraction form
    382,352.80/572,362.80 = 340,362.40/x
  3. Step 3: Cross multiply
    382,352.80x = 572,362.80 × 340,362.40
  4. Step 4: Simplify right side
    382,352.80x = 194,810,776,278.72
  5. Step 5: Solve for x
    x = 194,810,776,278.72/382,352.80
  6. Step 6: Final answer
    x = 509,505.30

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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.