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Finding the Fourth Proportional to 442,683.63, 664,024.01 and 265,243.95

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Solution

The fourth proportional to 442,683.63, 664,024.01 and 265,243.95 is: 397,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,683.63 : 664,024.01 = 265,243.95 : x
  2. Step 2: Convert to fraction form
    442,683.63/664,024.01 = 265,243.95/x
  3. Step 3: Cross multiply
    442,683.63x = 664,024.01 × 265,243.95
  4. Step 4: Simplify right side
    442,683.63x = 176,128,349,981.02
  5. Step 5: Solve for x
    x = 176,128,349,981.02/442,683.63
  6. Step 6: Final answer
    x = 397,865.06

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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.