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Finding the Fourth Proportional to 471,208.32, 701,483.00 and 468,405.86

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Solution

The fourth proportional to 471,208.32, 701,483.00 and 468,405.86 is: 697,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,208.32 : 701,483.00 = 468,405.86 : x
  2. Step 2: Convert to fraction form
    471,208.32/701,483.00 = 468,405.86/x
  3. Step 3: Cross multiply
    471,208.32x = 701,483.00 × 468,405.86
  4. Step 4: Simplify right side
    471,208.32x = 328,578,742,040.94
  5. Step 5: Solve for x
    x = 328,578,742,040.94/471,208.32
  6. Step 6: Final answer
    x = 697,310.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.