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Finding the Fourth Proportional to 471,897.60, 706,809.60 and 409,689.60

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Solution

The fourth proportional to 471,897.60, 706,809.60 and 409,689.60 is: 613,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,897.60 : 706,809.60 = 409,689.60 : x
  2. Step 2: Convert to fraction form
    471,897.60/706,809.60 = 409,689.60/x
  3. Step 3: Cross multiply
    471,897.60x = 706,809.60 × 409,689.60
  4. Step 4: Simplify right side
    471,897.60x = 289,572,542,300.16
  5. Step 5: Solve for x
    x = 289,572,542,300.16/471,897.60
  6. Step 6: Final answer
    x = 613,634.28

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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.