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Finding the Fourth Proportional to 513,056.22, 708,012.36 and 286,701.72

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Solution

The fourth proportional to 513,056.22, 708,012.36 and 286,701.72 is: 395,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,056.22 : 708,012.36 = 286,701.72 : x
  2. Step 2: Convert to fraction form
    513,056.22/708,012.36 = 286,701.72/x
  3. Step 3: Cross multiply
    513,056.22x = 708,012.36 × 286,701.72
  4. Step 4: Simplify right side
    513,056.22x = 202,988,361,393.26
  5. Step 5: Solve for x
    x = 202,988,361,393.26/513,056.22
  6. Step 6: Final answer
    x = 395,645.45

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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.