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Finding the Fourth Proportional to 471,714.32, 707,498.96 and 258,587.83

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Solution

The fourth proportional to 471,714.32, 707,498.96 and 258,587.83 is: 387,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,714.32 : 707,498.96 = 258,587.83 : x
  2. Step 2: Convert to fraction form
    471,714.32/707,498.96 = 258,587.83/x
  3. Step 3: Cross multiply
    471,714.32x = 707,498.96 × 258,587.83
  4. Step 4: Simplify right side
    471,714.32x = 182,950,615,963.22
  5. Step 5: Solve for x
    x = 182,950,615,963.22/471,714.32
  6. Step 6: Final answer
    x = 387,841.98

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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.