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Finding the Fourth Proportional to 536,152.65, 803,004.12 and 255,866.73

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Solution

The fourth proportional to 536,152.65, 803,004.12 and 255,866.73 is: 383,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,152.65 : 803,004.12 = 255,866.73 : x
  2. Step 2: Convert to fraction form
    536,152.65/803,004.12 = 255,866.73/x
  3. Step 3: Cross multiply
    536,152.65x = 803,004.12 × 255,866.73
  4. Step 4: Simplify right side
    536,152.65x = 205,462,038,360.93
  5. Step 5: Solve for x
    x = 205,462,038,360.93/536,152.65
  6. Step 6: Final answer
    x = 383,215.56

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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.