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Finding the Fourth Proportional to 468,203.32, 646,566.86 and 442,699.96

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Solution

The fourth proportional to 468,203.32, 646,566.86 and 442,699.96 is: 611,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,203.32 : 646,566.86 = 442,699.96 : x
  2. Step 2: Convert to fraction form
    468,203.32/646,566.86 = 442,699.96/x
  3. Step 3: Cross multiply
    468,203.32x = 646,566.86 × 442,699.96
  4. Step 4: Simplify right side
    468,203.32x = 286,235,123,059.33
  5. Step 5: Solve for x
    x = 286,235,123,059.33/468,203.32
  6. Step 6: Final answer
    x = 611,347.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.