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Finding the Fourth Proportional to 616,047.90, 924,071.31 and 231,868.53

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Solution

The fourth proportional to 616,047.90, 924,071.31 and 231,868.53 is: 347,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,047.90 : 924,071.31 = 231,868.53 : x
  2. Step 2: Convert to fraction form
    616,047.90/924,071.31 = 231,868.53/x
  3. Step 3: Cross multiply
    616,047.90x = 924,071.31 × 231,868.53
  4. Step 4: Simplify right side
    616,047.90x = 214,263,056,264.87
  5. Step 5: Solve for x
    x = 214,263,056,264.87/616,047.90
  6. Step 6: Final answer
    x = 347,802.59

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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.