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Finding the Fourth Proportional to 409,339.16, 613,329.92 and 248,929.86

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Solution

The fourth proportional to 409,339.16, 613,329.92 and 248,929.86 is: 372,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,339.16 : 613,329.92 = 248,929.86 : x
  2. Step 2: Convert to fraction form
    409,339.16/613,329.92 = 248,929.86/x
  3. Step 3: Cross multiply
    409,339.16x = 613,329.92 × 248,929.86
  4. Step 4: Simplify right side
    409,339.16x = 152,676,129,874.76
  5. Step 5: Solve for x
    x = 152,676,129,874.76/409,339.16
  6. Step 6: Final answer
    x = 372,981.98

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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.