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Finding the Fourth Proportional to 470,947.67, 706,445.95 and 155,429.18

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Solution

The fourth proportional to 470,947.67, 706,445.95 and 155,429.18 is: 233,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,947.67 : 706,445.95 = 155,429.18 : x
  2. Step 2: Convert to fraction form
    470,947.67/706,445.95 = 155,429.18/x
  3. Step 3: Cross multiply
    470,947.67x = 706,445.95 × 155,429.18
  4. Step 4: Simplify right side
    470,947.67x = 109,802,314,722.82
  5. Step 5: Solve for x
    x = 109,802,314,722.82/470,947.67
  6. Step 6: Final answer
    x = 233,151.84

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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.