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Finding the Fourth Proportional to 446,347.60, 669,563.84 and 146,830.64

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Solution

The fourth proportional to 446,347.60, 669,563.84 and 146,830.64 is: 220,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,347.60 : 669,563.84 = 146,830.64 : x
  2. Step 2: Convert to fraction form
    446,347.60/669,563.84 = 146,830.64/x
  3. Step 3: Cross multiply
    446,347.60x = 669,563.84 × 146,830.64
  4. Step 4: Simplify right side
    446,347.60x = 98,312,487,148.06
  5. Step 5: Solve for x
    x = 98,312,487,148.06/446,347.60
  6. Step 6: Final answer
    x = 220,259.92

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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.