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Finding the Fourth Proportional to 830,280, 1,245,421.20 and 231,242.88

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Solution

The fourth proportional to 830,280, 1,245,421.20 and 231,242.88 is: 346,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,280 : 1,245,421.20 = 231,242.88 : x
  2. Step 2: Convert to fraction form
    830,280/1,245,421.20 = 231,242.88/x
  3. Step 3: Cross multiply
    830,280x = 1,245,421.20 × 231,242.88
  4. Step 4: Simplify right side
    830,280x = 287,994,785,101.06
  5. Step 5: Solve for x
    x = 287,994,785,101.06/830,280
  6. Step 6: Final answer
    x = 346,864.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.