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Finding the Fourth Proportional to 516,015.34, 712,077 and 286,587.42

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Solution

The fourth proportional to 516,015.34, 712,077 and 286,587.42 is: 395,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,015.34 : 712,077 = 286,587.42 : x
  2. Step 2: Convert to fraction form
    516,015.34/712,077 = 286,587.42/x
  3. Step 3: Cross multiply
    516,015.34x = 712,077 × 286,587.42
  4. Step 4: Simplify right side
    516,015.34x = 204,072,310,271.34
  5. Step 5: Solve for x
    x = 204,072,310,271.34/516,015.34
  6. Step 6: Final answer
    x = 395,477.22

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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.