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Finding the Fourth Proportional to 390,866.40, 586,299.60 and 264,895.20

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Solution

The fourth proportional to 390,866.40, 586,299.60 and 264,895.20 is: 397,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,866.40 : 586,299.60 = 264,895.20 : x
  2. Step 2: Convert to fraction form
    390,866.40/586,299.60 = 264,895.20/x
  3. Step 3: Cross multiply
    390,866.40x = 586,299.60 × 264,895.20
  4. Step 4: Simplify right side
    390,866.40x = 155,307,949,801.92
  5. Step 5: Solve for x
    x = 155,307,949,801.92/390,866.40
  6. Step 6: Final answer
    x = 397,342.80

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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.