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Finding the Fourth Proportional to 367,688.76, 507,457.88 and 206,543.76

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Solution

The fourth proportional to 367,688.76, 507,457.88 and 206,543.76 is: 285,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,688.76 : 507,457.88 = 206,543.76 : x
  2. Step 2: Convert to fraction form
    367,688.76/507,457.88 = 206,543.76/x
  3. Step 3: Cross multiply
    367,688.76x = 507,457.88 × 206,543.76
  4. Step 4: Simplify right side
    367,688.76x = 104,812,258,576.83
  5. Step 5: Solve for x
    x = 104,812,258,576.83/367,688.76
  6. Step 6: Final answer
    x = 285,057.01

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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.