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Finding the Fourth Proportional to 840,235.25, 1,159,524.65 and 458,264.77

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Solution

The fourth proportional to 840,235.25, 1,159,524.65 and 458,264.77 is: 632,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,235.25 : 1,159,524.65 = 458,264.77 : x
  2. Step 2: Convert to fraction form
    840,235.25/1,159,524.65 = 458,264.77/x
  3. Step 3: Cross multiply
    840,235.25x = 1,159,524.65 × 458,264.77
  4. Step 4: Simplify right side
    840,235.25x = 531,369,297,041.58
  5. Step 5: Solve for x
    x = 531,369,297,041.58/840,235.25
  6. Step 6: Final answer
    x = 632,405.39

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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.