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Finding the Fourth Proportional to 705,312.66, 973,350.78 and 414,944.67

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Solution

The fourth proportional to 705,312.66, 973,350.78 and 414,944.67 is: 572,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,312.66 : 973,350.78 = 414,944.67 : x
  2. Step 2: Convert to fraction form
    705,312.66/973,350.78 = 414,944.67/x
  3. Step 3: Cross multiply
    705,312.66x = 973,350.78 × 414,944.67
  4. Step 4: Simplify right side
    705,312.66x = 403,886,720,295.37
  5. Step 5: Solve for x
    x = 403,886,720,295.37/705,312.66
  6. Step 6: Final answer
    x = 572,635.00

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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.