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Finding the Fourth Proportional to 354,655.20, 531,205.20 and 307,999.20

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Solution

The fourth proportional to 354,655.20, 531,205.20 and 307,999.20 is: 461,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,655.20 : 531,205.20 = 307,999.20 : x
  2. Step 2: Convert to fraction form
    354,655.20/531,205.20 = 307,999.20/x
  3. Step 3: Cross multiply
    354,655.20x = 531,205.20 × 307,999.20
  4. Step 4: Simplify right side
    354,655.20x = 163,610,776,635.84
  5. Step 5: Solve for x
    x = 163,610,776,635.84/354,655.20
  6. Step 6: Final answer
    x = 461,323.50

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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.