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Finding the Fourth Proportional to 586,280.80, 879,421.20 and 523,295.20

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Solution

The fourth proportional to 586,280.80, 879,421.20 and 523,295.20 is: 784,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,280.80 : 879,421.20 = 523,295.20 : x
  2. Step 2: Convert to fraction form
    586,280.80/879,421.20 = 523,295.20/x
  3. Step 3: Cross multiply
    586,280.80x = 879,421.20 × 523,295.20
  4. Step 4: Simplify right side
    586,280.80x = 460,196,892,738.24
  5. Step 5: Solve for x
    x = 460,196,892,738.24/586,280.80
  6. Step 6: Final answer
    x = 784,942.80

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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.