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Finding the Fourth Proportional to 367,714.86, 507,005.01 and 265,577.10

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Solution

The fourth proportional to 367,714.86, 507,005.01 and 265,577.10 is: 366,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,714.86 : 507,005.01 = 265,577.10 : x
  2. Step 2: Convert to fraction form
    367,714.86/507,005.01 = 265,577.10/x
  3. Step 3: Cross multiply
    367,714.86x = 507,005.01 × 265,577.10
  4. Step 4: Simplify right side
    367,714.86x = 134,648,920,241.27
  5. Step 5: Solve for x
    x = 134,648,920,241.27/367,714.86
  6. Step 6: Final answer
    x = 366,177.53

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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.