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Finding the Fourth Proportional to 551,610.34, 761,254.86 and 415,403.98

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Solution

The fourth proportional to 551,610.34, 761,254.86 and 415,403.98 is: 573,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,610.34 : 761,254.86 = 415,403.98 : x
  2. Step 2: Convert to fraction form
    551,610.34/761,254.86 = 415,403.98/x
  3. Step 3: Cross multiply
    551,610.34x = 761,254.86 × 415,403.98
  4. Step 4: Simplify right side
    551,610.34x = 316,228,298,638.34
  5. Step 5: Solve for x
    x = 316,228,298,638.34/551,610.34
  6. Step 6: Final answer
    x = 573,282.04

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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.