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Finding the Fourth Proportional to 279,875.76, 419,606.28 and 169,041.84

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Solution

The fourth proportional to 279,875.76, 419,606.28 and 169,041.84 is: 253,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,875.76 : 419,606.28 = 169,041.84 : x
  2. Step 2: Convert to fraction form
    279,875.76/419,606.28 = 169,041.84/x
  3. Step 3: Cross multiply
    279,875.76x = 419,606.28 × 169,041.84
  4. Step 4: Simplify right side
    279,875.76x = 70,931,017,646.76
  5. Step 5: Solve for x
    x = 70,931,017,646.76/279,875.76
  6. Step 6: Final answer
    x = 253,437.52

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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.