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Finding the Fourth Proportional to 506,783.32, 759,374.76 and 411,550.09

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Solution

The fourth proportional to 506,783.32, 759,374.76 and 411,550.09 is: 616,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,783.32 : 759,374.76 = 411,550.09 : x
  2. Step 2: Convert to fraction form
    506,783.32/759,374.76 = 411,550.09/x
  3. Step 3: Cross multiply
    506,783.32x = 759,374.76 × 411,550.09
  4. Step 4: Simplify right side
    506,783.32x = 312,520,750,821.73
  5. Step 5: Solve for x
    x = 312,520,750,821.73/506,783.32
  6. Step 6: Final answer
    x = 616,675.29

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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.