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Finding the Fourth Proportional to 314,457.92, 471,760.56 and 104,095.76

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Solution

The fourth proportional to 314,457.92, 471,760.56 and 104,095.76 is: 156,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.92 : 471,760.56 = 104,095.76 : x
  2. Step 2: Convert to fraction form
    314,457.92/471,760.56 = 104,095.76/x
  3. Step 3: Cross multiply
    314,457.92x = 471,760.56 × 104,095.76
  4. Step 4: Simplify right side
    314,457.92x = 49,108,274,031.23
  5. Step 5: Solve for x
    x = 49,108,274,031.23/314,457.92
  6. Step 6: Final answer
    x = 156,168.03

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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.