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Finding the Fourth Proportional to 507,957.48, 761,977.71 and 255,107.92

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Solution

The fourth proportional to 507,957.48, 761,977.71 and 255,107.92 is: 382,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,957.48 : 761,977.71 = 255,107.92 : x
  2. Step 2: Convert to fraction form
    507,957.48/761,977.71 = 255,107.92/x
  3. Step 3: Cross multiply
    507,957.48x = 761,977.71 × 255,107.92
  4. Step 4: Simplify right side
    507,957.48x = 194,386,548,684.46
  5. Step 5: Solve for x
    x = 194,386,548,684.46/507,957.48
  6. Step 6: Final answer
    x = 382,682.72

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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.