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Finding the Fourth Proportional to 355,714.60, 532,275.90 and 262,402.60

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Solution

The fourth proportional to 355,714.60, 532,275.90 and 262,402.60 is: 392,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714.60 : 532,275.90 = 262,402.60 : x
  2. Step 2: Convert to fraction form
    355,714.60/532,275.90 = 262,402.60/x
  3. Step 3: Cross multiply
    355,714.60x = 532,275.90 × 262,402.60
  4. Step 4: Simplify right side
    355,714.60x = 139,670,580,077.34
  5. Step 5: Solve for x
    x = 139,670,580,077.34/355,714.60
  6. Step 6: Final answer
    x = 392,647.87

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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.