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Finding the Fourth Proportional to 538,305.25, 807,582.96 and 183,322.35

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Solution

The fourth proportional to 538,305.25, 807,582.96 and 183,322.35 is: 275,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,305.25 : 807,582.96 = 183,322.35 : x
  2. Step 2: Convert to fraction form
    538,305.25/807,582.96 = 183,322.35/x
  3. Step 3: Cross multiply
    538,305.25x = 807,582.96 × 183,322.35
  4. Step 4: Simplify right side
    538,305.25x = 148,048,006,047.16
  5. Step 5: Solve for x
    x = 148,048,006,047.16/538,305.25
  6. Step 6: Final answer
    x = 275,026.12

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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.