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Finding the Fourth Proportional to 516,835.64, 713,128.14 and 301,934.18

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Solution

The fourth proportional to 516,835.64, 713,128.14 and 301,934.18 is: 416,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,835.64 : 713,128.14 = 301,934.18 : x
  2. Step 2: Convert to fraction form
    516,835.64/713,128.14 = 301,934.18/x
  3. Step 3: Cross multiply
    516,835.64x = 713,128.14 × 301,934.18
  4. Step 4: Simplify right side
    516,835.64x = 215,317,759,430.99
  5. Step 5: Solve for x
    x = 215,317,759,430.99/516,835.64
  6. Step 6: Final answer
    x = 416,607.80

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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.