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Finding the Fourth Proportional to 472,464.70, 708,697.05 and 417,352.30

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Solution

The fourth proportional to 472,464.70, 708,697.05 and 417,352.30 is: 626,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,464.70 : 708,697.05 = 417,352.30 : x
  2. Step 2: Convert to fraction form
    472,464.70/708,697.05 = 417,352.30/x
  3. Step 3: Cross multiply
    472,464.70x = 708,697.05 × 417,352.30
  4. Step 4: Simplify right side
    472,464.70x = 295,776,343,820.72
  5. Step 5: Solve for x
    x = 295,776,343,820.72/472,464.70
  6. Step 6: Final answer
    x = 626,028.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.