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Finding the Fourth Proportional to 407,527.60, 611,752.20 and 241,409.20

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Solution

The fourth proportional to 407,527.60, 611,752.20 and 241,409.20 is: 362,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,527.60 : 611,752.20 = 241,409.20 : x
  2. Step 2: Convert to fraction form
    407,527.60/611,752.20 = 241,409.20/x
  3. Step 3: Cross multiply
    407,527.60x = 611,752.20 × 241,409.20
  4. Step 4: Simplify right side
    407,527.60x = 147,682,609,200.24
  5. Step 5: Solve for x
    x = 147,682,609,200.24/407,527.60
  6. Step 6: Final answer
    x = 362,386.77

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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.