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Finding the Fourth Proportional to 332,461, 458,798.70 and 181,558

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Solution

The fourth proportional to 332,461, 458,798.70 and 181,558 is: 250,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,461 : 458,798.70 = 181,558 : x
  2. Step 2: Convert to fraction form
    332,461/458,798.70 = 181,558/x
  3. Step 3: Cross multiply
    332,461x = 458,798.70 × 181,558
  4. Step 4: Simplify right side
    332,461x = 83,298,574,374.60
  5. Step 5: Solve for x
    x = 83,298,574,374.60/332,461
  6. Step 6: Final answer
    x = 250,551.42

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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.