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Finding the Fourth Proportional to 553,521.60, 830,039.40 and 253,902.60

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Solution

The fourth proportional to 553,521.60, 830,039.40 and 253,902.60 is: 380,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,521.60 : 830,039.40 = 253,902.60 : x
  2. Step 2: Convert to fraction form
    553,521.60/830,039.40 = 253,902.60/x
  3. Step 3: Cross multiply
    553,521.60x = 830,039.40 × 253,902.60
  4. Step 4: Simplify right side
    553,521.60x = 210,749,161,762.44
  5. Step 5: Solve for x
    x = 210,749,161,762.44/553,521.60
  6. Step 6: Final answer
    x = 380,742.43

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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.