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Finding the Fourth Proportional to 334,147.66, 500,024.14 and 289,323.60

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Solution

The fourth proportional to 334,147.66, 500,024.14 and 289,323.60 is: 432,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,147.66 : 500,024.14 = 289,323.60 : x
  2. Step 2: Convert to fraction form
    334,147.66/500,024.14 = 289,323.60/x
  3. Step 3: Cross multiply
    334,147.66x = 500,024.14 × 289,323.60
  4. Step 4: Simplify right side
    334,147.66x = 144,668,784,271.70
  5. Step 5: Solve for x
    x = 144,668,784,271.70/334,147.66
  6. Step 6: Final answer
    x = 432,948.67

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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.