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Finding the Fourth Proportional to 652,184.60, 978,276.90 and 533,989.40

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Solution

The fourth proportional to 652,184.60, 978,276.90 and 533,989.40 is: 800,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,184.60 : 978,276.90 = 533,989.40 : x
  2. Step 2: Convert to fraction form
    652,184.60/978,276.90 = 533,989.40/x
  3. Step 3: Cross multiply
    652,184.60x = 978,276.90 × 533,989.40
  4. Step 4: Simplify right side
    652,184.60x = 522,389,494,864.86
  5. Step 5: Solve for x
    x = 522,389,494,864.86/652,184.60
  6. Step 6: Final answer
    x = 800,984.10

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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.