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Finding the Fourth Proportional to 470,721.60, 706,082.40 and 155,102.40

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Solution

The fourth proportional to 470,721.60, 706,082.40 and 155,102.40 is: 232,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,721.60 : 706,082.40 = 155,102.40 : x
  2. Step 2: Convert to fraction form
    470,721.60/706,082.40 = 155,102.40/x
  3. Step 3: Cross multiply
    470,721.60x = 706,082.40 × 155,102.40
  4. Step 4: Simplify right side
    470,721.60x = 109,515,074,837.76
  5. Step 5: Solve for x
    x = 109,515,074,837.76/470,721.60
  6. Step 6: Final answer
    x = 232,653.60

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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.