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Finding the Fourth Proportional to 470,184.80, 648,862.74 and 266,230.34

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Solution

The fourth proportional to 470,184.80, 648,862.74 and 266,230.34 is: 367,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,184.80 : 648,862.74 = 266,230.34 : x
  2. Step 2: Convert to fraction form
    470,184.80/648,862.74 = 266,230.34/x
  3. Step 3: Cross multiply
    470,184.80x = 648,862.74 × 266,230.34
  4. Step 4: Simplify right side
    470,184.80x = 172,746,950,171.26
  5. Step 5: Solve for x
    x = 172,746,950,171.26/470,184.80
  6. Step 6: Final answer
    x = 367,402.25

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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.