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Finding the Fourth Proportional to 506,407, 698,813.28 and 276,918.76

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Solution

The fourth proportional to 506,407, 698,813.28 and 276,918.76 is: 382,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,407 : 698,813.28 = 276,918.76 : x
  2. Step 2: Convert to fraction form
    506,407/698,813.28 = 276,918.76/x
  3. Step 3: Cross multiply
    506,407x = 698,813.28 × 276,918.76
  4. Step 4: Simplify right side
    506,407x = 193,514,506,969.13
  5. Step 5: Solve for x
    x = 193,514,506,969.13/506,407
  6. Step 6: Final answer
    x = 382,132.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.