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Finding the Fourth Proportional to 390,465.80, 585,698.70 and 232,872.20

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Solution

The fourth proportional to 390,465.80, 585,698.70 and 232,872.20 is: 349,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,465.80 : 585,698.70 = 232,872.20 : x
  2. Step 2: Convert to fraction form
    390,465.80/585,698.70 = 232,872.20/x
  3. Step 3: Cross multiply
    390,465.80x = 585,698.70 × 232,872.20
  4. Step 4: Simplify right side
    390,465.80x = 136,392,944,806.14
  5. Step 5: Solve for x
    x = 136,392,944,806.14/390,465.80
  6. Step 6: Final answer
    x = 349,308.30

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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.