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Finding the Fourth Proportional to 516,574.55, 712,886.06 and 283,998.65

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Solution

The fourth proportional to 516,574.55, 712,886.06 and 283,998.65 is: 391,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,574.55 : 712,886.06 = 283,998.65 : x
  2. Step 2: Convert to fraction form
    516,574.55/712,886.06 = 283,998.65/x
  3. Step 3: Cross multiply
    516,574.55x = 712,886.06 × 283,998.65
  4. Step 4: Simplify right side
    516,574.55x = 202,458,677,223.83
  5. Step 5: Solve for x
    x = 202,458,677,223.83/516,574.55
  6. Step 6: Final answer
    x = 391,925.38

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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.