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Finding the Fourth Proportional to 530,714, 732,374.84 and 288,999.44

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Solution

The fourth proportional to 530,714, 732,374.84 and 288,999.44 is: 398,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,714 : 732,374.84 = 288,999.44 : x
  2. Step 2: Convert to fraction form
    530,714/732,374.84 = 288,999.44/x
  3. Step 3: Cross multiply
    530,714x = 732,374.84 × 288,999.44
  4. Step 4: Simplify right side
    530,714x = 211,655,918,630.09
  5. Step 5: Solve for x
    x = 211,655,918,630.09/530,714
  6. Step 6: Final answer
    x = 398,813.52

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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.