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Finding the Fourth Proportional to 468,077.10, 702,115.65 and 438,552.60

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Solution

The fourth proportional to 468,077.10, 702,115.65 and 438,552.60 is: 657,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,077.10 : 702,115.65 = 438,552.60 : x
  2. Step 2: Convert to fraction form
    468,077.10/702,115.65 = 438,552.60/x
  3. Step 3: Cross multiply
    468,077.10x = 702,115.65 × 438,552.60
  4. Step 4: Simplify right side
    468,077.10x = 307,914,643,808.19
  5. Step 5: Solve for x
    x = 307,914,643,808.19/468,077.10
  6. Step 6: Final answer
    x = 657,828.90

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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.