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Finding the Fourth Proportional to 489,734.19, 734,256.72 and 189,962.10

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Solution

The fourth proportional to 489,734.19, 734,256.72 and 189,962.10 is: 284,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,734.19 : 734,256.72 = 189,962.10 : x
  2. Step 2: Convert to fraction form
    489,734.19/734,256.72 = 189,962.10/x
  3. Step 3: Cross multiply
    489,734.19x = 734,256.72 × 189,962.10
  4. Step 4: Simplify right side
    489,734.19x = 139,480,948,470.31
  5. Step 5: Solve for x
    x = 139,480,948,470.31/489,734.19
  6. Step 6: Final answer
    x = 284,809.50

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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.