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Finding the Fourth Proportional to 509,643.90, 764,465.85 and 154,657.35

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Solution

The fourth proportional to 509,643.90, 764,465.85 and 154,657.35 is: 231,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,643.90 : 764,465.85 = 154,657.35 : x
  2. Step 2: Convert to fraction form
    509,643.90/764,465.85 = 154,657.35/x
  3. Step 3: Cross multiply
    509,643.90x = 764,465.85 × 154,657.35
  4. Step 4: Simplify right side
    509,643.90x = 118,230,262,526.50
  5. Step 5: Solve for x
    x = 118,230,262,526.50/509,643.90
  6. Step 6: Final answer
    x = 231,986.03

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Why These Related Problems?

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