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Finding the Fourth Proportional to 503,247, 754,870.50 and 129,270

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Solution

The fourth proportional to 503,247, 754,870.50 and 129,270 is: 193,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,247 : 754,870.50 = 129,270 : x
  2. Step 2: Convert to fraction form
    503,247/754,870.50 = 129,270/x
  3. Step 3: Cross multiply
    503,247x = 754,870.50 × 129,270
  4. Step 4: Simplify right side
    503,247x = 97,582,109,535
  5. Step 5: Solve for x
    x = 97,582,109,535/503,247
  6. Step 6: Final answer
    x = 193,905

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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.