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Finding the Fourth Proportional to 513,275.42, 708,324.65 and 283,848.14

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Solution

The fourth proportional to 513,275.42, 708,324.65 and 283,848.14 is: 391,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,275.42 : 708,324.65 = 283,848.14 : x
  2. Step 2: Convert to fraction form
    513,275.42/708,324.65 = 283,848.14/x
  3. Step 3: Cross multiply
    513,275.42x = 708,324.65 × 283,848.14
  4. Step 4: Simplify right side
    513,275.42x = 201,056,629,457.79
  5. Step 5: Solve for x
    x = 201,056,629,457.79/513,275.42
  6. Step 6: Final answer
    x = 391,712.95

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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.