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Finding the Fourth Proportional to 358,792.88, 537,146.74 and 208,575.16

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Solution

The fourth proportional to 358,792.88, 537,146.74 and 208,575.16 is: 312,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,792.88 : 537,146.74 = 208,575.16 : x
  2. Step 2: Convert to fraction form
    358,792.88/537,146.74 = 208,575.16/x
  3. Step 3: Cross multiply
    358,792.88x = 537,146.74 × 208,575.16
  4. Step 4: Simplify right side
    358,792.88x = 112,035,467,238.98
  5. Step 5: Solve for x
    x = 112,035,467,238.98/358,792.88
  6. Step 6: Final answer
    x = 312,256.66

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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.