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Finding the Fourth Proportional to 705,272.13, 973,430.53 and 463,577.20

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Solution

The fourth proportional to 705,272.13, 973,430.53 and 463,577.20 is: 639,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,272.13 : 973,430.53 = 463,577.20 : x
  2. Step 2: Convert to fraction form
    705,272.13/973,430.53 = 463,577.20/x
  3. Step 3: Cross multiply
    705,272.13x = 973,430.53 × 463,577.20
  4. Step 4: Simplify right side
    705,272.13x = 451,260,199,491.92
  5. Step 5: Solve for x
    x = 451,260,199,491.92/705,272.13
  6. Step 6: Final answer
    x = 639,838.41

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