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Finding the Fourth Proportional to 506,010.82, 759,140.80 and 356,543

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Solution

The fourth proportional to 506,010.82, 759,140.80 and 356,543 is: 534,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,010.82 : 759,140.80 = 356,543 : x
  2. Step 2: Convert to fraction form
    506,010.82/759,140.80 = 356,543/x
  3. Step 3: Cross multiply
    506,010.82x = 759,140.80 × 356,543
  4. Step 4: Simplify right side
    506,010.82x = 270,666,338,254.40
  5. Step 5: Solve for x
    x = 270,666,338,254.40/506,010.82
  6. Step 6: Final answer
    x = 534,902.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.