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Finding the Fourth Proportional to 289,253.13, 433,835.15 and 78,907.47

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Solution

The fourth proportional to 289,253.13, 433,835.15 and 78,907.47 is: 118,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253.13 : 433,835.15 = 78,907.47 : x
  2. Step 2: Convert to fraction form
    289,253.13/433,835.15 = 78,907.47/x
  3. Step 3: Cross multiply
    289,253.13x = 433,835.15 × 78,907.47
  4. Step 4: Simplify right side
    289,253.13x = 34,232,833,689.03
  5. Step 5: Solve for x
    x = 34,232,833,689.03/289,253.13
  6. Step 6: Final answer
    x = 118,349.05

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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.