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Finding the Fourth Proportional to 411,683.30, 617,582.55 and 175,024.10

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Solution

The fourth proportional to 411,683.30, 617,582.55 and 175,024.10 is: 262,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,683.30 : 617,582.55 = 175,024.10 : x
  2. Step 2: Convert to fraction form
    411,683.30/617,582.55 = 175,024.10/x
  3. Step 3: Cross multiply
    411,683.30x = 617,582.55 × 175,024.10
  4. Step 4: Simplify right side
    411,683.30x = 108,091,829,989.46
  5. Step 5: Solve for x
    x = 108,091,829,989.46/411,683.30
  6. Step 6: Final answer
    x = 262,560.64

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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.