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Finding the Fourth Proportional to 529,694, 730,977.72 and 291,230

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Solution

The fourth proportional to 529,694, 730,977.72 and 291,230 is: 401,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,694 : 730,977.72 = 291,230 : x
  2. Step 2: Convert to fraction form
    529,694/730,977.72 = 291,230/x
  3. Step 3: Cross multiply
    529,694x = 730,977.72 × 291,230
  4. Step 4: Simplify right side
    529,694x = 212,882,641,395.60
  5. Step 5: Solve for x
    x = 212,882,641,395.60/529,694
  6. Step 6: Final answer
    x = 401,897.40

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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.