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Finding the Fourth Proportional to 472,458.80, 708,688.20 and 462,617.30

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Solution

The fourth proportional to 472,458.80, 708,688.20 and 462,617.30 is: 693,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,458.80 : 708,688.20 = 462,617.30 : x
  2. Step 2: Convert to fraction form
    472,458.80/708,688.20 = 462,617.30/x
  3. Step 3: Cross multiply
    472,458.80x = 708,688.20 × 462,617.30
  4. Step 4: Simplify right side
    472,458.80x = 327,851,421,625.86
  5. Step 5: Solve for x
    x = 327,851,421,625.86/472,458.80
  6. Step 6: Final answer
    x = 693,925.95

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Why These Related Problems?

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