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Finding the Fourth Proportional to 310,907.50, 466,373.40 and 97,820.80

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Solution

The fourth proportional to 310,907.50, 466,373.40 and 97,820.80 is: 146,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,907.50 : 466,373.40 = 97,820.80 : x
  2. Step 2: Convert to fraction form
    310,907.50/466,373.40 = 97,820.80/x
  3. Step 3: Cross multiply
    310,907.50x = 466,373.40 × 97,820.80
  4. Step 4: Simplify right side
    310,907.50x = 45,621,019,086.72
  5. Step 5: Solve for x
    x = 45,621,019,086.72/310,907.50
  6. Step 6: Final answer
    x = 146,735.02

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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.