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Finding the Fourth Proportional to 516,392.35, 712,607.18 and 286,943.70

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Solution

The fourth proportional to 516,392.35, 712,607.18 and 286,943.70 is: 395,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,392.35 : 712,607.18 = 286,943.70 : x
  2. Step 2: Convert to fraction form
    516,392.35/712,607.18 = 286,943.70/x
  3. Step 3: Cross multiply
    516,392.35x = 712,607.18 × 286,943.70
  4. Step 4: Simplify right side
    516,392.35x = 204,478,140,875.77
  5. Step 5: Solve for x
    x = 204,478,140,875.77/516,392.35
  6. Step 6: Final answer
    x = 395,974.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.