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Finding the Fourth Proportional to 452,984.64, 678,886.48 and 186,476.82

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Solution

The fourth proportional to 452,984.64, 678,886.48 and 186,476.82 is: 279,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,984.64 : 678,886.48 = 186,476.82 : x
  2. Step 2: Convert to fraction form
    452,984.64/678,886.48 = 186,476.82/x
  3. Step 3: Cross multiply
    452,984.64x = 678,886.48 × 186,476.82
  4. Step 4: Simplify right side
    452,984.64x = 126,596,591,931.39
  5. Step 5: Solve for x
    x = 126,596,591,931.39/452,984.64
  6. Step 6: Final answer
    x = 279,472.15

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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.