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Finding the Fourth Proportional to 705,312.83, 973,629.65 and 476,180.46

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Solution

The fourth proportional to 705,312.83, 973,629.65 and 476,180.46 is: 657,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,312.83 : 973,629.65 = 476,180.46 : x
  2. Step 2: Convert to fraction form
    705,312.83/973,629.65 = 476,180.46/x
  3. Step 3: Cross multiply
    705,312.83x = 973,629.65 × 476,180.46
  4. Step 4: Simplify right side
    705,312.83x = 463,623,414,606.64
  5. Step 5: Solve for x
    x = 463,623,414,606.64/705,312.83
  6. Step 6: Final answer
    x = 657,330.19

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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.