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Finding the Fourth Proportional to 390,800.40, 586,200.60 and 264,829.20

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Solution

The fourth proportional to 390,800.40, 586,200.60 and 264,829.20 is: 397,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,800.40 : 586,200.60 = 264,829.20 : x
  2. Step 2: Convert to fraction form
    390,800.40/586,200.60 = 264,829.20/x
  3. Step 3: Cross multiply
    390,800.40x = 586,200.60 × 264,829.20
  4. Step 4: Simplify right side
    390,800.40x = 155,243,035,937.52
  5. Step 5: Solve for x
    x = 155,243,035,937.52/390,800.40
  6. Step 6: Final answer
    x = 397,243.80

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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.