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Finding the Fourth Proportional to 472,003.10, 708,004.65 and 465,004.70

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Solution

The fourth proportional to 472,003.10, 708,004.65 and 465,004.70 is: 697,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,003.10 : 708,004.65 = 465,004.70 : x
  2. Step 2: Convert to fraction form
    472,003.10/708,004.65 = 465,004.70/x
  3. Step 3: Cross multiply
    472,003.10x = 708,004.65 × 465,004.70
  4. Step 4: Simplify right side
    472,003.10x = 329,225,489,871.86
  5. Step 5: Solve for x
    x = 329,225,489,871.86/472,003.10
  6. Step 6: Final answer
    x = 697,507.05

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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.