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Finding the Fourth Proportional to 505,173.72, 697,146.32 and 298,448.91

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Solution

The fourth proportional to 505,173.72, 697,146.32 and 298,448.91 is: 411,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,173.72 : 697,146.32 = 298,448.91 : x
  2. Step 2: Convert to fraction form
    505,173.72/697,146.32 = 298,448.91/x
  3. Step 3: Cross multiply
    505,173.72x = 697,146.32 × 298,448.91
  4. Step 4: Simplify right side
    505,173.72x = 208,062,563,047.99
  5. Step 5: Solve for x
    x = 208,062,563,047.99/505,173.72
  6. Step 6: Final answer
    x = 411,863.39

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1.5x scale

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.