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Finding the Fourth Proportional to 432,585.90, 648,503.01 and 207,833.58

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Solution

The fourth proportional to 432,585.90, 648,503.01 and 207,833.58 is: 311,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,585.90 : 648,503.01 = 207,833.58 : x
  2. Step 2: Convert to fraction form
    432,585.90/648,503.01 = 207,833.58/x
  3. Step 3: Cross multiply
    432,585.90x = 648,503.01 × 207,833.58
  4. Step 4: Simplify right side
    432,585.90x = 134,780,702,209.08
  5. Step 5: Solve for x
    x = 134,780,702,209.08/432,585.90
  6. Step 6: Final answer
    x = 311,569.80

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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.