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Finding the Fourth Proportional to 470,973.60, 706,407.90 and 129,443.22

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Solution

The fourth proportional to 470,973.60, 706,407.90 and 129,443.22 is: 194,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,973.60 : 706,407.90 = 129,443.22 : x
  2. Step 2: Convert to fraction form
    470,973.60/706,407.90 = 129,443.22/x
  3. Step 3: Cross multiply
    470,973.60x = 706,407.90 × 129,443.22
  4. Step 4: Simplify right side
    470,973.60x = 91,439,713,209.44
  5. Step 5: Solve for x
    x = 91,439,713,209.44/470,973.60
  6. Step 6: Final answer
    x = 194,150.40

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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.