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Finding the Fourth Proportional to 437,594.92, 656,424.54 and 157,114.60

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Solution

The fourth proportional to 437,594.92, 656,424.54 and 157,114.60 is: 235,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,594.92 : 656,424.54 = 157,114.60 : x
  2. Step 2: Convert to fraction form
    437,594.92/656,424.54 = 157,114.60/x
  3. Step 3: Cross multiply
    437,594.92x = 656,424.54 × 157,114.60
  4. Step 4: Simplify right side
    437,594.92x = 103,133,879,032.28
  5. Step 5: Solve for x
    x = 103,133,879,032.28/437,594.92
  6. Step 6: Final answer
    x = 235,683.45

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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.