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Finding the Fourth Proportional to 284,953.52, 427,488.60 and 97,940.72

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Solution

The fourth proportional to 284,953.52, 427,488.60 and 97,940.72 is: 146,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.52 : 427,488.60 = 97,940.72 : x
  2. Step 2: Convert to fraction form
    284,953.52/427,488.60 = 97,940.72/x
  3. Step 3: Cross multiply
    284,953.52x = 427,488.60 × 97,940.72
  4. Step 4: Simplify right side
    284,953.52x = 41,868,541,275.79
  5. Step 5: Solve for x
    x = 41,868,541,275.79/284,953.52
  6. Step 6: Final answer
    x = 146,931.13

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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.