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Finding the Fourth Proportional to 575,114.94, 862,259.85 and 219,829.50

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Solution

The fourth proportional to 575,114.94, 862,259.85 and 219,829.50 is: 329,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,114.94 : 862,259.85 = 219,829.50 : x
  2. Step 2: Convert to fraction form
    575,114.94/862,259.85 = 219,829.50/x
  3. Step 3: Cross multiply
    575,114.94x = 862,259.85 × 219,829.50
  4. Step 4: Simplify right side
    575,114.94x = 189,550,151,695.58
  5. Step 5: Solve for x
    x = 189,550,151,695.58/575,114.94
  6. Step 6: Final answer
    x = 329,586.55

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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.