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Finding the Fourth Proportional to 614,651.76, 846,289.20 and 522,590

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Solution

The fourth proportional to 614,651.76, 846,289.20 and 522,590 is: 719,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,651.76 : 846,289.20 = 522,590 : x
  2. Step 2: Convert to fraction form
    614,651.76/846,289.20 = 522,590/x
  3. Step 3: Cross multiply
    614,651.76x = 846,289.20 × 522,590
  4. Step 4: Simplify right side
    614,651.76x = 442,262,273,028
  5. Step 5: Solve for x
    x = 442,262,273,028/614,651.76
  6. Step 6: Final answer
    x = 719,533.08

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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.