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Finding the Fourth Proportional to 516,184.07, 712,447.86 and 286,820.16

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Solution

The fourth proportional to 516,184.07, 712,447.86 and 286,820.16 is: 395,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,184.07 : 712,447.86 = 286,820.16 : x
  2. Step 2: Convert to fraction form
    516,184.07/712,447.86 = 286,820.16/x
  3. Step 3: Cross multiply
    516,184.07x = 712,447.86 × 286,820.16
  4. Step 4: Simplify right side
    516,184.07x = 204,344,409,196.86
  5. Step 5: Solve for x
    x = 204,344,409,196.86/516,184.07
  6. Step 6: Final answer
    x = 395,875.08

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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.