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Finding the Fourth Proportional to 858,114, 1,184,197.32 and 476,202.24

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Solution

The fourth proportional to 858,114, 1,184,197.32 and 476,202.24 is: 657,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,114 : 1,184,197.32 = 476,202.24 : x
  2. Step 2: Convert to fraction form
    858,114/1,184,197.32 = 476,202.24/x
  3. Step 3: Cross multiply
    858,114x = 1,184,197.32 × 476,202.24
  4. Step 4: Simplify right side
    858,114x = 563,917,416,386.00
  5. Step 5: Solve for x
    x = 563,917,416,386.00/858,114
  6. Step 6: Final answer
    x = 657,159.09

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