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Finding the Fourth Proportional to 388,707.30, 536,394.38 and 214,271.87

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Solution

The fourth proportional to 388,707.30, 536,394.38 and 214,271.87 is: 295,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,707.30 : 536,394.38 = 214,271.87 : x
  2. Step 2: Convert to fraction form
    388,707.30/536,394.38 = 214,271.87/x
  3. Step 3: Cross multiply
    388,707.30x = 536,394.38 × 214,271.87
  4. Step 4: Simplify right side
    388,707.30x = 114,934,223,106.76
  5. Step 5: Solve for x
    x = 114,934,223,106.76/388,707.30
  6. Step 6: Final answer
    x = 295,683.21

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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.