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Finding the Fourth Proportional to 473,536.89, 653,438.01 and 266,838.93

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Solution

The fourth proportional to 473,536.89, 653,438.01 and 266,838.93 is: 368,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,536.89 : 653,438.01 = 266,838.93 : x
  2. Step 2: Convert to fraction form
    473,536.89/653,438.01 = 266,838.93/x
  3. Step 3: Cross multiply
    473,536.89x = 653,438.01 × 266,838.93
  4. Step 4: Simplify right side
    473,536.89x = 174,362,699,409.73
  5. Step 5: Solve for x
    x = 174,362,699,409.73/473,536.89
  6. Step 6: Final answer
    x = 368,213.55

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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.