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Finding the Fourth Proportional to 468,007.10, 701,999.85 and 152,461.70

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Solution

The fourth proportional to 468,007.10, 701,999.85 and 152,461.70 is: 228,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,007.10 : 701,999.85 = 152,461.70 : x
  2. Step 2: Convert to fraction form
    468,007.10/701,999.85 = 152,461.70/x
  3. Step 3: Cross multiply
    468,007.10x = 701,999.85 × 152,461.70
  4. Step 4: Simplify right side
    468,007.10x = 107,028,090,530.75
  5. Step 5: Solve for x
    x = 107,028,090,530.75/468,007.10
  6. Step 6: Final answer
    x = 228,689.03

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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.