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Finding the Fourth Proportional to 473,497.71, 653,355.15 and 266,736.64

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Solution

The fourth proportional to 473,497.71, 653,355.15 and 266,736.64 is: 368,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,497.71 : 653,355.15 = 266,736.64 : x
  2. Step 2: Convert to fraction form
    473,497.71/653,355.15 = 266,736.64/x
  3. Step 3: Cross multiply
    473,497.71x = 653,355.15 × 266,736.64
  4. Step 4: Simplify right side
    473,497.71x = 174,273,757,437.70
  5. Step 5: Solve for x
    x = 174,273,757,437.70/473,497.71
  6. Step 6: Final answer
    x = 368,056.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.