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Finding the Fourth Proportional to 470,972.19, 706,482.78 and 155,453.70

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Solution

The fourth proportional to 470,972.19, 706,482.78 and 155,453.70 is: 233,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,972.19 : 706,482.78 = 155,453.70 : x
  2. Step 2: Convert to fraction form
    470,972.19/706,482.78 = 155,453.70/x
  3. Step 3: Cross multiply
    470,972.19x = 706,482.78 × 155,453.70
  4. Step 4: Simplify right side
    470,972.19x = 109,825,362,137.29
  5. Step 5: Solve for x
    x = 109,825,362,137.29/470,972.19
  6. Step 6: Final answer
    x = 233,188.64

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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.