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Finding the Fourth Proportional to 314,549.60, 470,902.80 and 277,685.60

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Solution

The fourth proportional to 314,549.60, 470,902.80 and 277,685.60 is: 415,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,549.60 : 470,902.80 = 277,685.60 : x
  2. Step 2: Convert to fraction form
    314,549.60/470,902.80 = 277,685.60/x
  3. Step 3: Cross multiply
    314,549.60x = 470,902.80 × 277,685.60
  4. Step 4: Simplify right side
    314,549.60x = 130,762,926,559.68
  5. Step 5: Solve for x
    x = 130,762,926,559.68/314,549.60
  6. Step 6: Final answer
    x = 415,714.81

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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.