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Finding the Fourth Proportional to 446,867.84, 670,345.50 and 147,226.16

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Solution

The fourth proportional to 446,867.84, 670,345.50 and 147,226.16 is: 220,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,867.84 : 670,345.50 = 147,226.16 : x
  2. Step 2: Convert to fraction form
    446,867.84/670,345.50 = 147,226.16/x
  3. Step 3: Cross multiply
    446,867.84x = 670,345.50 × 147,226.16
  4. Step 4: Simplify right side
    446,867.84x = 98,692,390,486.55
  5. Step 5: Solve for x
    x = 98,692,390,486.55/446,867.84
  6. Step 6: Final answer
    x = 220,853.65

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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.