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Finding the Fourth Proportional to 705,023.50, 972,933.65 and 403,217.50

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Solution

The fourth proportional to 705,023.50, 972,933.65 and 403,217.50 is: 556,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,023.50 : 972,933.65 = 403,217.50 : x
  2. Step 2: Convert to fraction form
    705,023.50/972,933.65 = 403,217.50/x
  3. Step 3: Cross multiply
    705,023.50x = 972,933.65 × 403,217.50
  4. Step 4: Simplify right side
    705,023.50x = 392,303,874,018.88
  5. Step 5: Solve for x
    x = 392,303,874,018.88/705,023.50
  6. Step 6: Final answer
    x = 556,440.85

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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.