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Finding the Fourth Proportional to 430,112.60, 645,168.90 and 412,909.40

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Solution

The fourth proportional to 430,112.60, 645,168.90 and 412,909.40 is: 619,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,112.60 : 645,168.90 = 412,909.40 : x
  2. Step 2: Convert to fraction form
    430,112.60/645,168.90 = 412,909.40/x
  3. Step 3: Cross multiply
    430,112.60x = 645,168.90 × 412,909.40
  4. Step 4: Simplify right side
    430,112.60x = 266,396,303,397.66
  5. Step 5: Solve for x
    x = 266,396,303,397.66/430,112.60
  6. Step 6: Final answer
    x = 619,364.10

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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.