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Finding the Fourth Proportional to 430,827.90, 647,019.45 and 312,632.70

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Solution

The fourth proportional to 430,827.90, 647,019.45 and 312,632.70 is: 469,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,827.90 : 647,019.45 = 312,632.70 : x
  2. Step 2: Convert to fraction form
    430,827.90/647,019.45 = 312,632.70/x
  3. Step 3: Cross multiply
    430,827.90x = 647,019.45 × 312,632.70
  4. Step 4: Simplify right side
    430,827.90x = 202,279,437,606.02
  5. Step 5: Solve for x
    x = 202,279,437,606.02/430,827.90
  6. Step 6: Final answer
    x = 469,513.32

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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.