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Finding the Fourth Proportional to 589,671.82, 813,749.52 and 335,036.98

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Solution

The fourth proportional to 589,671.82, 813,749.52 and 335,036.98 is: 462,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,671.82 : 813,749.52 = 335,036.98 : x
  2. Step 2: Convert to fraction form
    589,671.82/813,749.52 = 335,036.98/x
  3. Step 3: Cross multiply
    589,671.82x = 813,749.52 × 335,036.98
  4. Step 4: Simplify right side
    589,671.82x = 272,636,181,657.25
  5. Step 5: Solve for x
    x = 272,636,181,657.25/589,671.82
  6. Step 6: Final answer
    x = 462,352.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.