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Finding the Fourth Proportional to 516,050.34, 712,125.78 and 286,622.28

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Solution

The fourth proportional to 516,050.34, 712,125.78 and 286,622.28 is: 395,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,050.34 : 712,125.78 = 286,622.28 : x
  2. Step 2: Convert to fraction form
    516,050.34/712,125.78 = 286,622.28/x
  3. Step 3: Cross multiply
    516,050.34x = 712,125.78 × 286,622.28
  4. Step 4: Simplify right side
    516,050.34x = 204,111,114,710.38
  5. Step 5: Solve for x
    x = 204,111,114,710.38/516,050.34
  6. Step 6: Final answer
    x = 395,525.59

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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.