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Finding the Fourth Proportional to 310,100.40, 464,567.40 and 159,829.20

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Solution

The fourth proportional to 310,100.40, 464,567.40 and 159,829.20 is: 239,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,100.40 : 464,567.40 = 159,829.20 : x
  2. Step 2: Convert to fraction form
    310,100.40/464,567.40 = 159,829.20/x
  3. Step 3: Cross multiply
    310,100.40x = 464,567.40 × 159,829.20
  4. Step 4: Simplify right side
    310,100.40x = 74,251,435,888.08
  5. Step 5: Solve for x
    x = 74,251,435,888.08/310,100.40
  6. Step 6: Final answer
    x = 239,443.21

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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.