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Finding the Fourth Proportional to 470,947.62, 706,445.86 and 155,429.12

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Solution

The fourth proportional to 470,947.62, 706,445.86 and 155,429.12 is: 233,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,947.62 : 706,445.86 = 155,429.12 : x
  2. Step 2: Convert to fraction form
    470,947.62/706,445.86 = 155,429.12/x
  3. Step 3: Cross multiply
    470,947.62x = 706,445.86 × 155,429.12
  4. Step 4: Simplify right side
    470,947.62x = 109,802,258,347.44
  5. Step 5: Solve for x
    x = 109,802,258,347.44/470,947.62
  6. Step 6: Final answer
    x = 233,151.74

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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.