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Finding the Fourth Proportional to 661,582.94, 992,702.32 and 262,214.86

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Solution

The fourth proportional to 661,582.94, 992,702.32 and 262,214.86 is: 393,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,582.94 : 992,702.32 = 262,214.86 : x
  2. Step 2: Convert to fraction form
    661,582.94/992,702.32 = 262,214.86/x
  3. Step 3: Cross multiply
    661,582.94x = 992,702.32 × 262,214.86
  4. Step 4: Simplify right side
    661,582.94x = 260,301,299,860.48
  5. Step 5: Solve for x
    x = 260,301,299,860.48/661,582.94
  6. Step 6: Final answer
    x = 393,452.26

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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.