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Finding the Fourth Proportional to 401,052.80, 601,492.80 and 176,412.80

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Solution

The fourth proportional to 401,052.80, 601,492.80 and 176,412.80 is: 264,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,052.80 : 601,492.80 = 176,412.80 : x
  2. Step 2: Convert to fraction form
    401,052.80/601,492.80 = 176,412.80/x
  3. Step 3: Cross multiply
    401,052.80x = 601,492.80 × 176,412.80
  4. Step 4: Simplify right side
    401,052.80x = 106,111,029,027.84
  5. Step 5: Solve for x
    x = 106,111,029,027.84/401,052.80
  6. Step 6: Final answer
    x = 264,581.19

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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.