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Finding the Fourth Proportional to 390,300.60, 585,159.30 and 213,007.80

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Solution

The fourth proportional to 390,300.60, 585,159.30 and 213,007.80 is: 319,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,300.60 : 585,159.30 = 213,007.80 : x
  2. Step 2: Convert to fraction form
    390,300.60/585,159.30 = 213,007.80/x
  3. Step 3: Cross multiply
    390,300.60x = 585,159.30 × 213,007.80
  4. Step 4: Simplify right side
    390,300.60x = 124,643,495,142.54
  5. Step 5: Solve for x
    x = 124,643,495,142.54/390,300.60
  6. Step 6: Final answer
    x = 319,352.56

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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.