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Finding the Fourth Proportional to 476,870.40, 715,305.60 and 144,446.40

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Solution

The fourth proportional to 476,870.40, 715,305.60 and 144,446.40 is: 216,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,870.40 : 715,305.60 = 144,446.40 : x
  2. Step 2: Convert to fraction form
    476,870.40/715,305.60 = 144,446.40/x
  3. Step 3: Cross multiply
    476,870.40x = 715,305.60 × 144,446.40
  4. Step 4: Simplify right side
    476,870.40x = 103,323,318,819.84
  5. Step 5: Solve for x
    x = 103,323,318,819.84/476,870.40
  6. Step 6: Final answer
    x = 216,669.60

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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.