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Finding the Fourth Proportional to 405,527.60, 608,905.80 and 312,138.80

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Solution

The fourth proportional to 405,527.60, 608,905.80 and 312,138.80 is: 468,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,527.60 : 608,905.80 = 312,138.80 : x
  2. Step 2: Convert to fraction form
    405,527.60/608,905.80 = 312,138.80/x
  3. Step 3: Cross multiply
    405,527.60x = 608,905.80 × 312,138.80
  4. Step 4: Simplify right side
    405,527.60x = 190,063,125,725.04
  5. Step 5: Solve for x
    x = 190,063,125,725.04/405,527.60
  6. Step 6: Final answer
    x = 468,681.11

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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.