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Finding the Fourth Proportional to 535,184.50, 738,577.02 and 293,476.38

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Solution

The fourth proportional to 535,184.50, 738,577.02 and 293,476.38 is: 405,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,184.50 : 738,577.02 = 293,476.38 : x
  2. Step 2: Convert to fraction form
    535,184.50/738,577.02 = 293,476.38/x
  3. Step 3: Cross multiply
    535,184.50x = 738,577.02 × 293,476.38
  4. Step 4: Simplify right side
    535,184.50x = 216,754,912,027.23
  5. Step 5: Solve for x
    x = 216,754,912,027.23/535,184.50
  6. Step 6: Final answer
    x = 405,009.70

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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.