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Finding the Fourth Proportional to 473,495.71, 653,352.39 and 266,734.64

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Solution

The fourth proportional to 473,495.71, 653,352.39 and 266,734.64 is: 368,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,495.71 : 653,352.39 = 266,734.64 : x
  2. Step 2: Convert to fraction form
    473,495.71/653,352.39 = 266,734.64/x
  3. Step 3: Cross multiply
    473,495.71x = 653,352.39 × 266,734.64
  4. Step 4: Simplify right side
    473,495.71x = 174,271,711,551.10
  5. Step 5: Solve for x
    x = 174,271,711,551.10/473,495.71
  6. Step 6: Final answer
    x = 368,053.41

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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.