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Finding the Fourth Proportional to 452,460.51, 677,657.20 and 215,969.67

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Solution

The fourth proportional to 452,460.51, 677,657.20 and 215,969.67 is: 323,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,460.51 : 677,657.20 = 215,969.67 : x
  2. Step 2: Convert to fraction form
    452,460.51/677,657.20 = 215,969.67/x
  3. Step 3: Cross multiply
    452,460.51x = 677,657.20 × 215,969.67
  4. Step 4: Simplify right side
    452,460.51x = 146,353,401,857.12
  5. Step 5: Solve for x
    x = 146,353,401,857.12/452,460.51
  6. Step 6: Final answer
    x = 323,461.16

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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.