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Finding the Fourth Proportional to 513,037.68, 707,989.80 and 286,683.16

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Solution

The fourth proportional to 513,037.68, 707,989.80 and 286,683.16 is: 395,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,037.68 : 707,989.80 = 286,683.16 : x
  2. Step 2: Convert to fraction form
    513,037.68/707,989.80 = 286,683.16/x
  3. Step 3: Cross multiply
    513,037.68x = 707,989.80 × 286,683.16
  4. Step 4: Simplify right side
    513,037.68x = 202,968,753,111.77
  5. Step 5: Solve for x
    x = 202,968,753,111.77/513,037.68
  6. Step 6: Final answer
    x = 395,621.53

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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.