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Finding the Fourth Proportional to 430,833.60, 646,941.60 and 291,211.20

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Solution

The fourth proportional to 430,833.60, 646,941.60 and 291,211.20 is: 437,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,833.60 : 646,941.60 = 291,211.20 : x
  2. Step 2: Convert to fraction form
    430,833.60/646,941.60 = 291,211.20/x
  3. Step 3: Cross multiply
    430,833.60x = 646,941.60 × 291,211.20
  4. Step 4: Simplify right side
    430,833.60x = 188,396,639,665.92
  5. Step 5: Solve for x
    x = 188,396,639,665.92/430,833.60
  6. Step 6: Final answer
    x = 437,284.00

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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.