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Finding the Fourth Proportional to 369,671.22, 509,952.35 and 321,164.16

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Solution

The fourth proportional to 369,671.22, 509,952.35 and 321,164.16 is: 443,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,671.22 : 509,952.35 = 321,164.16 : x
  2. Step 2: Convert to fraction form
    369,671.22/509,952.35 = 321,164.16/x
  3. Step 3: Cross multiply
    369,671.22x = 509,952.35 × 321,164.16
  4. Step 4: Simplify right side
    369,671.22x = 163,778,418,965.94
  5. Step 5: Solve for x
    x = 163,778,418,965.94/369,671.22
  6. Step 6: Final answer
    x = 443,038.05

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