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Finding the Fourth Proportional to 652,302, 900,178.38 and 380,556.72

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Solution

The fourth proportional to 652,302, 900,178.38 and 380,556.72 is: 525,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,302 : 900,178.38 = 380,556.72 : x
  2. Step 2: Convert to fraction form
    652,302/900,178.38 = 380,556.72/x
  3. Step 3: Cross multiply
    652,302x = 900,178.38 × 380,556.72
  4. Step 4: Simplify right side
    652,302x = 342,568,931,707.71
  5. Step 5: Solve for x
    x = 342,568,931,707.71/652,302
  6. Step 6: Final answer
    x = 525,169.22

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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.