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Finding the Fourth Proportional to 1,411,520.13, 1,947,905.82 and 830,765.05

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Solution

The fourth proportional to 1,411,520.13, 1,947,905.82 and 830,765.05 is: 1,146,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,520.13 : 1,947,905.82 = 830,765.05 : x
  2. Step 2: Convert to fraction form
    1,411,520.13/1,947,905.82 = 830,765.05/x
  3. Step 3: Cross multiply
    1,411,520.13x = 1,947,905.82 × 830,765.05
  4. Step 4: Simplify right side
    1,411,520.13x = 1,618,252,071,077.83
  5. Step 5: Solve for x
    x = 1,618,252,071,077.83/1,411,520.13
  6. Step 6: Final answer
    x = 1,146,460.50

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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.