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Finding the Fourth Proportional to 430,101, 645,260.22 and 303,989.16

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Solution

The fourth proportional to 430,101, 645,260.22 and 303,989.16 is: 456,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,101 : 645,260.22 = 303,989.16 : x
  2. Step 2: Convert to fraction form
    430,101/645,260.22 = 303,989.16/x
  3. Step 3: Cross multiply
    430,101x = 645,260.22 × 303,989.16
  4. Step 4: Simplify right side
    430,101x = 196,152,112,259.22
  5. Step 5: Solve for x
    x = 196,152,112,259.22/430,101
  6. Step 6: Final answer
    x = 456,060.58

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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.