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Finding the Fourth Proportional to 333,709.80, 460,592.10 and 220,543.08

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Solution

The fourth proportional to 333,709.80, 460,592.10 and 220,543.08 is: 304,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,709.80 : 460,592.10 = 220,543.08 : x
  2. Step 2: Convert to fraction form
    333,709.80/460,592.10 = 220,543.08/x
  3. Step 3: Cross multiply
    333,709.80x = 460,592.10 × 220,543.08
  4. Step 4: Simplify right side
    333,709.80x = 101,580,400,357.67
  5. Step 5: Solve for x
    x = 101,580,400,357.67/333,709.80
  6. Step 6: Final answer
    x = 304,397.41

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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.