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Finding the Fourth Proportional to 333,505.58, 460,237.20 and 180,543.02

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Solution

The fourth proportional to 333,505.58, 460,237.20 and 180,543.02 is: 249,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,505.58 : 460,237.20 = 180,543.02 : x
  2. Step 2: Convert to fraction form
    333,505.58/460,237.20 = 180,543.02/x
  3. Step 3: Cross multiply
    333,505.58x = 460,237.20 × 180,543.02
  4. Step 4: Simplify right side
    333,505.58x = 83,092,611,703.16
  5. Step 5: Solve for x
    x = 83,092,611,703.16/333,505.58
  6. Step 6: Final answer
    x = 249,149.09

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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.