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Finding the Fourth Proportional to 489,873.32, 734,125.44 and 264,748.40

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Solution

The fourth proportional to 489,873.32, 734,125.44 and 264,748.40 is: 396,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,873.32 : 734,125.44 = 264,748.40 : x
  2. Step 2: Convert to fraction form
    489,873.32/734,125.44 = 264,748.40/x
  3. Step 3: Cross multiply
    489,873.32x = 734,125.44 × 264,748.40
  4. Step 4: Simplify right side
    489,873.32x = 194,358,535,639.30
  5. Step 5: Solve for x
    x = 194,358,535,639.30/489,873.32
  6. Step 6: Final answer
    x = 396,752.65

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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.