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Finding the Fourth Proportional to 370,070.34, 510,698.61 and 200,304.47

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Solution

The fourth proportional to 370,070.34, 510,698.61 and 200,304.47 is: 276,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,070.34 : 510,698.61 = 200,304.47 : x
  2. Step 2: Convert to fraction form
    370,070.34/510,698.61 = 200,304.47/x
  3. Step 3: Cross multiply
    370,070.34x = 510,698.61 × 200,304.47
  4. Step 4: Simplify right side
    370,070.34x = 102,295,214,405.79
  5. Step 5: Solve for x
    x = 102,295,214,405.79/370,070.34
  6. Step 6: Final answer
    x = 276,421.00

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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.