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Finding the Fourth Proportional to 977,584.80, 1,465,210.80 and 408,964.80

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Solution

The fourth proportional to 977,584.80, 1,465,210.80 and 408,964.80 is: 612,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,584.80 : 1,465,210.80 = 408,964.80 : x
  2. Step 2: Convert to fraction form
    977,584.80/1,465,210.80 = 408,964.80/x
  3. Step 3: Cross multiply
    977,584.80x = 1,465,210.80 × 408,964.80
  4. Step 4: Simplify right side
    977,584.80x = 599,219,641,779.84
  5. Step 5: Solve for x
    x = 599,219,641,779.84/977,584.80
  6. Step 6: Final answer
    x = 612,959.25

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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.