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Finding the Fourth Proportional to 284,511.64, 426,827.40 and 97,537.72

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Solution

The fourth proportional to 284,511.64, 426,827.40 and 97,537.72 is: 146,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,511.64 : 426,827.40 = 97,537.72 : x
  2. Step 2: Convert to fraction form
    284,511.64/426,827.40 = 97,537.72/x
  3. Step 3: Cross multiply
    284,511.64x = 426,827.40 × 97,537.72
  4. Step 4: Simplify right side
    284,511.64x = 41,631,771,429.53
  5. Step 5: Solve for x
    x = 41,631,771,429.53/284,511.64
  6. Step 6: Final answer
    x = 146,327.13

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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.