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Finding the Fourth Proportional to 473,914.64, 710,916.50 and 174,400.92

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Solution

The fourth proportional to 473,914.64, 710,916.50 and 174,400.92 is: 261,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,914.64 : 710,916.50 = 174,400.92 : x
  2. Step 2: Convert to fraction form
    473,914.64/710,916.50 = 174,400.92/x
  3. Step 3: Cross multiply
    473,914.64x = 710,916.50 × 174,400.92
  4. Step 4: Simplify right side
    473,914.64x = 123,984,491,643.18
  5. Step 5: Solve for x
    x = 123,984,491,643.18/473,914.64
  6. Step 6: Final answer
    x = 261,617.77

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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.