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Finding the Fourth Proportional to 527,802.30, 728,464.68 and 301,447.80

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Solution

The fourth proportional to 527,802.30, 728,464.68 and 301,447.80 is: 416,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,802.30 : 728,464.68 = 301,447.80 : x
  2. Step 2: Convert to fraction form
    527,802.30/728,464.68 = 301,447.80/x
  3. Step 3: Cross multiply
    527,802.30x = 728,464.68 × 301,447.80
  4. Step 4: Simplify right side
    527,802.30x = 219,594,075,163.70
  5. Step 5: Solve for x
    x = 219,594,075,163.70/527,802.30
  6. Step 6: Final answer
    x = 416,053.65

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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.