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Finding the Fourth Proportional to 553,786.64, 830,325.08 and 233,851.84

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Solution

The fourth proportional to 553,786.64, 830,325.08 and 233,851.84 is: 350,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,786.64 : 830,325.08 = 233,851.84 : x
  2. Step 2: Convert to fraction form
    553,786.64/830,325.08 = 233,851.84/x
  3. Step 3: Cross multiply
    553,786.64x = 830,325.08 × 233,851.84
  4. Step 4: Simplify right side
    553,786.64x = 194,173,047,756.15
  5. Step 5: Solve for x
    x = 194,173,047,756.15/553,786.64
  6. Step 6: Final answer
    x = 350,627.90

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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.