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Finding the Fourth Proportional to 584,037.16, 805,971.20 and 315,765.16

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Solution

The fourth proportional to 584,037.16, 805,971.20 and 315,765.16 is: 435,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,037.16 : 805,971.20 = 315,765.16 : x
  2. Step 2: Convert to fraction form
    584,037.16/805,971.20 = 315,765.16/x
  3. Step 3: Cross multiply
    584,037.16x = 805,971.20 × 315,765.16
  4. Step 4: Simplify right side
    584,037.16x = 254,497,624,923.39
  5. Step 5: Solve for x
    x = 254,497,624,923.39/584,037.16
  6. Step 6: Final answer
    x = 435,755.88

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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.