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Finding the Fourth Proportional to 355,897.60, 533,846.40 and 311,574.40

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Solution

The fourth proportional to 355,897.60, 533,846.40 and 311,574.40 is: 467,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,897.60 : 533,846.40 = 311,574.40 : x
  2. Step 2: Convert to fraction form
    355,897.60/533,846.40 = 311,574.40/x
  3. Step 3: Cross multiply
    355,897.60x = 533,846.40 × 311,574.40
  4. Step 4: Simplify right side
    355,897.60x = 166,332,871,772.16
  5. Step 5: Solve for x
    x = 166,332,871,772.16/355,897.60
  6. Step 6: Final answer
    x = 467,361.60

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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.