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Finding the Fourth Proportional to 651,146.76, 976,757 and 201,931.49

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Solution

The fourth proportional to 651,146.76, 976,757 and 201,931.49 is: 302,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,146.76 : 976,757 = 201,931.49 : x
  2. Step 2: Convert to fraction form
    651,146.76/976,757 = 201,931.49/x
  3. Step 3: Cross multiply
    651,146.76x = 976,757 × 201,931.49
  4. Step 4: Simplify right side
    651,146.76x = 197,237,996,377.93
  5. Step 5: Solve for x
    x = 197,237,996,377.93/651,146.76
  6. Step 6: Final answer
    x = 302,908.67

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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.