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Finding the Fourth Proportional to 380,465.10, 570,703.32 and 180,806.04

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Solution

The fourth proportional to 380,465.10, 570,703.32 and 180,806.04 is: 271,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,465.10 : 570,703.32 = 180,806.04 : x
  2. Step 2: Convert to fraction form
    380,465.10/570,703.32 = 180,806.04/x
  3. Step 3: Cross multiply
    380,465.10x = 570,703.32 × 180,806.04
  4. Step 4: Simplify right side
    380,465.10x = 103,186,607,304.05
  5. Step 5: Solve for x
    x = 103,186,607,304.05/380,465.10
  6. Step 6: Final answer
    x = 271,211.75

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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.