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Finding the Fourth Proportional to 284,492.94, 426,681.48 and 104,516.51

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Solution

The fourth proportional to 284,492.94, 426,681.48 and 104,516.51 is: 156,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,492.94 : 426,681.48 = 104,516.51 : x
  2. Step 2: Convert to fraction form
    284,492.94/426,681.48 = 104,516.51/x
  3. Step 3: Cross multiply
    284,492.94x = 426,681.48 × 104,516.51
  4. Step 4: Simplify right side
    284,492.94x = 44,595,257,037.83
  5. Step 5: Solve for x
    x = 44,595,257,037.83/284,492.94
  6. Step 6: Final answer
    x = 156,753.48

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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.