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Finding the Fourth Proportional to 509,347.40, 702,851.04 and 305,360.42

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Solution

The fourth proportional to 509,347.40, 702,851.04 and 305,360.42 is: 421,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,347.40 : 702,851.04 = 305,360.42 : x
  2. Step 2: Convert to fraction form
    509,347.40/702,851.04 = 305,360.42/x
  3. Step 3: Cross multiply
    509,347.40x = 702,851.04 × 305,360.42
  4. Step 4: Simplify right side
    509,347.40x = 214,622,885,257.58
  5. Step 5: Solve for x
    x = 214,622,885,257.58/509,347.40
  6. Step 6: Final answer
    x = 421,368.38

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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.