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Finding the Fourth Proportional to 390,513.02, 585,100.80 and 213,144.50

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Solution

The fourth proportional to 390,513.02, 585,100.80 and 213,144.50 is: 319,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,513.02 : 585,100.80 = 213,144.50 : x
  2. Step 2: Convert to fraction form
    390,513.02/585,100.80 = 213,144.50/x
  3. Step 3: Cross multiply
    390,513.02x = 585,100.80 × 213,144.50
  4. Step 4: Simplify right side
    390,513.02x = 124,711,017,465.60
  5. Step 5: Solve for x
    x = 124,711,017,465.60/390,513.02
  6. Step 6: Final answer
    x = 319,351.75

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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.