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Finding the Fourth Proportional to 554,493.71, 832,112.10 and 194,665.64

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Solution

The fourth proportional to 554,493.71, 832,112.10 and 194,665.64 is: 292,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,493.71 : 832,112.10 = 194,665.64 : x
  2. Step 2: Convert to fraction form
    554,493.71/832,112.10 = 194,665.64/x
  3. Step 3: Cross multiply
    554,493.71x = 832,112.10 × 194,665.64
  4. Step 4: Simplify right side
    554,493.71x = 161,983,631,897.89
  5. Step 5: Solve for x
    x = 161,983,631,897.89/554,493.71
  6. Step 6: Final answer
    x = 292,128.89

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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.