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Finding the Fourth Proportional to 347,461.40, 521,969.70 and 333,291.80

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Solution

The fourth proportional to 347,461.40, 521,969.70 and 333,291.80 is: 500,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,461.40 : 521,969.70 = 333,291.80 : x
  2. Step 2: Convert to fraction form
    347,461.40/521,969.70 = 333,291.80/x
  3. Step 3: Cross multiply
    347,461.40x = 521,969.70 × 333,291.80
  4. Step 4: Simplify right side
    347,461.40x = 173,968,220,858.46
  5. Step 5: Solve for x
    x = 173,968,220,858.46/347,461.40
  6. Step 6: Final answer
    x = 500,683.59

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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.