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Finding the Fourth Proportional to 341,089.98, 470,888.72 and 205,154.27

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Solution

The fourth proportional to 341,089.98, 470,888.72 and 205,154.27 is: 283,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,089.98 : 470,888.72 = 205,154.27 : x
  2. Step 2: Convert to fraction form
    341,089.98/470,888.72 = 205,154.27/x
  3. Step 3: Cross multiply
    341,089.98x = 470,888.72 × 205,154.27
  4. Step 4: Simplify right side
    341,089.98x = 96,604,832,523.61
  5. Step 5: Solve for x
    x = 96,604,832,523.61/341,089.98
  6. Step 6: Final answer
    x = 283,223.89

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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.