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Finding the Fourth Proportional to 516,834.12, 713,070.72 and 301,819.08

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Solution

The fourth proportional to 516,834.12, 713,070.72 and 301,819.08 is: 416,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,834.12 : 713,070.72 = 301,819.08 : x
  2. Step 2: Convert to fraction form
    516,834.12/713,070.72 = 301,819.08/x
  3. Step 3: Cross multiply
    516,834.12x = 713,070.72 × 301,819.08
  4. Step 4: Simplify right side
    516,834.12x = 215,218,348,685.34
  5. Step 5: Solve for x
    x = 215,218,348,685.34/516,834.12
  6. Step 6: Final answer
    x = 416,416.68

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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.