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Finding the Fourth Proportional to 367,746.58, 507,478.50 and 204,402.28

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Solution

The fourth proportional to 367,746.58, 507,478.50 and 204,402.28 is: 282,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,746.58 : 507,478.50 = 204,402.28 : x
  2. Step 2: Convert to fraction form
    367,746.58/507,478.50 = 204,402.28/x
  3. Step 3: Cross multiply
    367,746.58x = 507,478.50 × 204,402.28
  4. Step 4: Simplify right side
    367,746.58x = 103,729,762,450.98
  5. Step 5: Solve for x
    x = 103,729,762,450.98/367,746.58
  6. Step 6: Final answer
    x = 282,068.60

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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.