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Finding the Fourth Proportional to 382,924.80, 575,078.40 and 277,862.40

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Solution

The fourth proportional to 382,924.80, 575,078.40 and 277,862.40 is: 417,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,924.80 : 575,078.40 = 277,862.40 : x
  2. Step 2: Convert to fraction form
    382,924.80/575,078.40 = 277,862.40/x
  3. Step 3: Cross multiply
    382,924.80x = 575,078.40 × 277,862.40
  4. Step 4: Simplify right side
    382,924.80x = 159,792,664,412.16
  5. Step 5: Solve for x
    x = 159,792,664,412.16/382,924.80
  6. Step 6: Final answer
    x = 417,295.16

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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.