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Finding the Fourth Proportional to 383,012.38, 528,547.71 and 213,242.86

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Solution

The fourth proportional to 383,012.38, 528,547.71 and 213,242.86 is: 294,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,012.38 : 528,547.71 = 213,242.86 : x
  2. Step 2: Convert to fraction form
    383,012.38/528,547.71 = 213,242.86/x
  3. Step 3: Cross multiply
    383,012.38x = 528,547.71 × 213,242.86
  4. Step 4: Simplify right side
    383,012.38x = 112,709,025,326.85
  5. Step 5: Solve for x
    x = 112,709,025,326.85/383,012.38
  6. Step 6: Final answer
    x = 294,269.93

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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.