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Finding the Fourth Proportional to 612,714.20, 919,071.30 and 470,996.60

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Solution

The fourth proportional to 612,714.20, 919,071.30 and 470,996.60 is: 706,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,714.20 : 919,071.30 = 470,996.60 : x
  2. Step 2: Convert to fraction form
    612,714.20/919,071.30 = 470,996.60/x
  3. Step 3: Cross multiply
    612,714.20x = 919,071.30 × 470,996.60
  4. Step 4: Simplify right side
    612,714.20x = 432,879,457,457.58
  5. Step 5: Solve for x
    x = 432,879,457,457.58/612,714.20
  6. Step 6: Final answer
    x = 706,494.90

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Similar ratio
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1.5x scale

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.