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Finding the Fourth Proportional to 473,542.34, 653,501.22 and 282,666.44

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Solution

The fourth proportional to 473,542.34, 653,501.22 and 282,666.44 is: 390,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,542.34 : 653,501.22 = 282,666.44 : x
  2. Step 2: Convert to fraction form
    473,542.34/653,501.22 = 282,666.44/x
  3. Step 3: Cross multiply
    473,542.34x = 653,501.22 × 282,666.44
  4. Step 4: Simplify right side
    473,542.34x = 184,722,863,966.81
  5. Step 5: Solve for x
    x = 184,722,863,966.81/473,542.34
  6. Step 6: Final answer
    x = 390,087.33

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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.