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Finding the Fourth Proportional to 476,591.90, 657,952.16 and 367,457.85

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Solution

The fourth proportional to 476,591.90, 657,952.16 and 367,457.85 is: 507,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,591.90 : 657,952.16 = 367,457.85 : x
  2. Step 2: Convert to fraction form
    476,591.90/657,952.16 = 367,457.85/x
  3. Step 3: Cross multiply
    476,591.90x = 657,952.16 × 367,457.85
  4. Step 4: Simplify right side
    476,591.90x = 241,769,684,279.17
  5. Step 5: Solve for x
    x = 241,769,684,279.17/476,591.90
  6. Step 6: Final answer
    x = 507,288.70

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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.