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Finding the Fourth Proportional to 509,133.80, 702,595.94 and 282,773.48

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Solution

The fourth proportional to 509,133.80, 702,595.94 and 282,773.48 is: 390,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,133.80 : 702,595.94 = 282,773.48 : x
  2. Step 2: Convert to fraction form
    509,133.80/702,595.94 = 282,773.48/x
  3. Step 3: Cross multiply
    509,133.80x = 702,595.94 × 282,773.48
  4. Step 4: Simplify right side
    509,133.80x = 198,675,498,987.67
  5. Step 5: Solve for x
    x = 198,675,498,987.67/509,133.80
  6. Step 6: Final answer
    x = 390,222.57

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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.