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Finding the Fourth Proportional to 554,643.12, 832,142.76 and 384,582

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Solution

The fourth proportional to 554,643.12, 832,142.76 and 384,582 is: 576,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,643.12 : 832,142.76 = 384,582 : x
  2. Step 2: Convert to fraction form
    554,643.12/832,142.76 = 384,582/x
  3. Step 3: Cross multiply
    554,643.12x = 832,142.76 × 384,582
  4. Step 4: Simplify right side
    554,643.12x = 320,027,126,926.32
  5. Step 5: Solve for x
    x = 320,027,126,926.32/554,643.12
  6. Step 6: Final answer
    x = 576,996.48

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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.