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Finding the Fourth Proportional to 506,586.30, 758,880.88 and 411,923.34

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Solution

The fourth proportional to 506,586.30, 758,880.88 and 411,923.34 is: 617,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,586.30 : 758,880.88 = 411,923.34 : x
  2. Step 2: Convert to fraction form
    506,586.30/758,880.88 = 411,923.34/x
  3. Step 3: Cross multiply
    506,586.30x = 758,880.88 × 411,923.34
  4. Step 4: Simplify right side
    506,586.30x = 312,600,746,751.74
  5. Step 5: Solve for x
    x = 312,600,746,751.74/506,586.30
  6. Step 6: Final answer
    x = 617,073.04

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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.