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Finding the Fourth Proportional to 516,947.50, 775,421.25 and 142,970.50

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Solution

The fourth proportional to 516,947.50, 775,421.25 and 142,970.50 is: 214,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,947.50 : 775,421.25 = 142,970.50 : x
  2. Step 2: Convert to fraction form
    516,947.50/775,421.25 = 142,970.50/x
  3. Step 3: Cross multiply
    516,947.50x = 775,421.25 × 142,970.50
  4. Step 4: Simplify right side
    516,947.50x = 110,862,363,823.13
  5. Step 5: Solve for x
    x = 110,862,363,823.13/516,947.50
  6. Step 6: Final answer
    x = 214,455.75

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