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Finding the Fourth Proportional to 600,411.60, 900,539.64 and 226,386

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Solution

The fourth proportional to 600,411.60, 900,539.64 and 226,386 is: 339,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,411.60 : 900,539.64 = 226,386 : x
  2. Step 2: Convert to fraction form
    600,411.60/900,539.64 = 226,386/x
  3. Step 3: Cross multiply
    600,411.60x = 900,539.64 × 226,386
  4. Step 4: Simplify right side
    600,411.60x = 203,869,566,941.04
  5. Step 5: Solve for x
    x = 203,869,566,941.04/600,411.60
  6. Step 6: Final answer
    x = 339,549.68

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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.