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Finding the Fourth Proportional to 4,466,829.74, 6,696,978.06 and 1,432,468.38

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Solution

The fourth proportional to 4,466,829.74, 6,696,978.06 and 1,432,468.38 is: 2,147,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466,829.74 : 6,696,978.06 = 1,432,468.38 : x
  2. Step 2: Convert to fraction form
    4,466,829.74/6,696,978.06 = 1,432,468.38/x
  3. Step 3: Cross multiply
    4,466,829.74x = 6,696,978.06 × 1,432,468.38
  4. Step 4: Simplify right side
    4,466,829.74x = 9,593,209,312,503.74
  5. Step 5: Solve for x
    x = 9,593,209,312,503.74/4,466,829.74
  6. Step 6: Final answer
    x = 2,147,655.02

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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.