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Finding the Fourth Proportional to 470,184.36, 648,862.16 and 266,229.90

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Solution

The fourth proportional to 470,184.36, 648,862.16 and 266,229.90 is: 367,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,184.36 : 648,862.16 = 266,229.90 : x
  2. Step 2: Convert to fraction form
    470,184.36/648,862.16 = 266,229.90/x
  3. Step 3: Cross multiply
    470,184.36x = 648,862.16 × 266,229.90
  4. Step 4: Simplify right side
    470,184.36x = 172,746,506,639.44
  5. Step 5: Solve for x
    x = 172,746,506,639.44/470,184.36
  6. Step 6: Final answer
    x = 367,401.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.