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Finding the Fourth Proportional to 462,941.84, 689,353.68 and 445,916.16

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Solution

The fourth proportional to 462,941.84, 689,353.68 and 445,916.16 is: 664,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,941.84 : 689,353.68 = 445,916.16 : x
  2. Step 2: Convert to fraction form
    462,941.84/689,353.68 = 445,916.16/x
  3. Step 3: Cross multiply
    462,941.84x = 689,353.68 × 445,916.16
  4. Step 4: Simplify right side
    462,941.84x = 307,393,945,867.47
  5. Step 5: Solve for x
    x = 307,393,945,867.47/462,941.84
  6. Step 6: Final answer
    x = 664,001.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.