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Finding the Fourth Proportional to 516,875.58, 775,327.95 and 142,898.58

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Solution

The fourth proportional to 516,875.58, 775,327.95 and 142,898.58 is: 214,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,875.58 : 775,327.95 = 142,898.58 : x
  2. Step 2: Convert to fraction form
    516,875.58/775,327.95 = 142,898.58/x
  3. Step 3: Cross multiply
    516,875.58x = 775,327.95 × 142,898.58
  4. Step 4: Simplify right side
    516,875.58x = 110,793,263,089.31
  5. Step 5: Solve for x
    x = 110,793,263,089.31/516,875.58
  6. Step 6: Final answer
    x = 214,351.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.