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Finding the Fourth Proportional to 390,471.84, 585,875.34 and 124,254

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Solution

The fourth proportional to 390,471.84, 585,875.34 and 124,254 is: 186,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,471.84 : 585,875.34 = 124,254 : x
  2. Step 2: Convert to fraction form
    390,471.84/585,875.34 = 124,254/x
  3. Step 3: Cross multiply
    390,471.84x = 585,875.34 × 124,254
  4. Step 4: Simplify right side
    390,471.84x = 72,797,354,496.36
  5. Step 5: Solve for x
    x = 72,797,354,496.36/390,471.84
  6. Step 6: Final answer
    x = 186,434.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.