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Finding the Fourth Proportional to 456,953.76, 630,604.56 and 255,749.28

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Solution

The fourth proportional to 456,953.76, 630,604.56 and 255,749.28 is: 352,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,953.76 : 630,604.56 = 255,749.28 : x
  2. Step 2: Convert to fraction form
    456,953.76/630,604.56 = 255,749.28/x
  3. Step 3: Cross multiply
    456,953.76x = 630,604.56 × 255,749.28
  4. Step 4: Simplify right side
    456,953.76x = 161,276,662,184.72
  5. Step 5: Solve for x
    x = 161,276,662,184.72/456,953.76
  6. Step 6: Final answer
    x = 352,938.69

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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.