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Finding the Fourth Proportional to 516,582.16, 712,890.16 and 312,630.64

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Solution

The fourth proportional to 516,582.16, 712,890.16 and 312,630.64 is: 431,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,582.16 : 712,890.16 = 312,630.64 : x
  2. Step 2: Convert to fraction form
    516,582.16/712,890.16 = 312,630.64/x
  3. Step 3: Cross multiply
    516,582.16x = 712,890.16 × 312,630.64
  4. Step 4: Simplify right side
    516,582.16x = 222,871,306,970.50
  5. Step 5: Solve for x
    x = 222,871,306,970.50/516,582.16
  6. Step 6: Final answer
    x = 431,434.39

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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.