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Finding the Fourth Proportional to 473,923.08, 653,708.34 and 282,789

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Solution

The fourth proportional to 473,923.08, 653,708.34 and 282,789 is: 390,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,923.08 : 653,708.34 = 282,789 : x
  2. Step 2: Convert to fraction form
    473,923.08/653,708.34 = 282,789/x
  3. Step 3: Cross multiply
    473,923.08x = 653,708.34 × 282,789
  4. Step 4: Simplify right side
    473,923.08x = 184,861,527,760.26
  5. Step 5: Solve for x
    x = 184,861,527,760.26/473,923.08
  6. Step 6: Final answer
    x = 390,066.52

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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.