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Finding the Fourth Proportional to 355,407.30, 533,032.25 and 102,632.76

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Solution

The fourth proportional to 355,407.30, 533,032.25 and 102,632.76 is: 153,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,407.30 : 533,032.25 = 102,632.76 : x
  2. Step 2: Convert to fraction form
    355,407.30/533,032.25 = 102,632.76/x
  3. Step 3: Cross multiply
    355,407.30x = 533,032.25 × 102,632.76
  4. Step 4: Simplify right side
    355,407.30x = 54,706,570,473.35
  5. Step 5: Solve for x
    x = 54,706,570,473.35/355,407.30
  6. Step 6: Final answer
    x = 153,926.41

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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.