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Finding the Fourth Proportional to 430,937.40, 646,406.10 and 244,313.40

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Solution

The fourth proportional to 430,937.40, 646,406.10 and 244,313.40 is: 366,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,937.40 : 646,406.10 = 244,313.40 : x
  2. Step 2: Convert to fraction form
    430,937.40/646,406.10 = 244,313.40/x
  3. Step 3: Cross multiply
    430,937.40x = 646,406.10 × 244,313.40
  4. Step 4: Simplify right side
    430,937.40x = 157,925,672,071.74
  5. Step 5: Solve for x
    x = 157,925,672,071.74/430,937.40
  6. Step 6: Final answer
    x = 366,470.10

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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.