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Finding the Fourth Proportional to 628,230, 942,647.40 and 312,714.48

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Solution

The fourth proportional to 628,230, 942,647.40 and 312,714.48 is: 469,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,230 : 942,647.40 = 312,714.48 : x
  2. Step 2: Convert to fraction form
    628,230/942,647.40 = 312,714.48/x
  3. Step 3: Cross multiply
    628,230x = 942,647.40 × 312,714.48
  4. Step 4: Simplify right side
    628,230x = 294,779,491,514.35
  5. Step 5: Solve for x
    x = 294,779,491,514.35/628,230
  6. Step 6: Final answer
    x = 469,222.25

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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.