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Finding the Fourth Proportional to 657,533.70, 986,227.65 and 538,998.30

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Solution

The fourth proportional to 657,533.70, 986,227.65 and 538,998.30 is: 808,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,533.70 : 986,227.65 = 538,998.30 : x
  2. Step 2: Convert to fraction form
    657,533.70/986,227.65 = 538,998.30/x
  3. Step 3: Cross multiply
    657,533.70x = 986,227.65 × 538,998.30
  4. Step 4: Simplify right side
    657,533.70x = 531,575,026,763.00
  5. Step 5: Solve for x
    x = 531,575,026,763.00/657,533.70
  6. Step 6: Final answer
    x = 808,437.69

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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.