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Finding the Fourth Proportional to 559,945.29, 838,610 and 514,731.28

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Solution

The fourth proportional to 559,945.29, 838,610 and 514,731.28 is: 770,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,945.29 : 838,610 = 514,731.28 : x
  2. Step 2: Convert to fraction form
    559,945.29/838,610 = 514,731.28/x
  3. Step 3: Cross multiply
    559,945.29x = 838,610 × 514,731.28
  4. Step 4: Simplify right side
    559,945.29x = 431,658,798,720.80
  5. Step 5: Solve for x
    x = 431,658,798,720.80/559,945.29
  6. Step 6: Final answer
    x = 770,894.60

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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.