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Finding the Fourth Proportional to 504,013.10, 754,270.05 and 462,022.70

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Solution

The fourth proportional to 504,013.10, 754,270.05 and 462,022.70 is: 691,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,013.10 : 754,270.05 = 462,022.70 : x
  2. Step 2: Convert to fraction form
    504,013.10/754,270.05 = 462,022.70/x
  3. Step 3: Cross multiply
    504,013.10x = 754,270.05 × 462,022.70
  4. Step 4: Simplify right side
    504,013.10x = 348,489,885,030.14
  5. Step 5: Solve for x
    x = 348,489,885,030.14/504,013.10
  6. Step 6: Final answer
    x = 691,430.21

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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.