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Finding the Fourth Proportional to 477,602.30, 659,086.44 and 262,742.60

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Solution

The fourth proportional to 477,602.30, 659,086.44 and 262,742.60 is: 362,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,602.30 : 659,086.44 = 262,742.60 : x
  2. Step 2: Convert to fraction form
    477,602.30/659,086.44 = 262,742.60/x
  3. Step 3: Cross multiply
    477,602.30x = 659,086.44 × 262,742.60
  4. Step 4: Simplify right side
    477,602.30x = 173,170,084,870.34
  5. Step 5: Solve for x
    x = 173,170,084,870.34/477,602.30
  6. Step 6: Final answer
    x = 362,582.18

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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.