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Finding the Fourth Proportional to 470,906.06, 706,358.95 and 138,482.06

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Solution

The fourth proportional to 470,906.06, 706,358.95 and 138,482.06 is: 207,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906.06 : 706,358.95 = 138,482.06 : x
  2. Step 2: Convert to fraction form
    470,906.06/706,358.95 = 138,482.06/x
  3. Step 3: Cross multiply
    470,906.06x = 706,358.95 × 138,482.06
  4. Step 4: Simplify right side
    470,906.06x = 97,818,038,617.44
  5. Step 5: Solve for x
    x = 97,818,038,617.44/470,906.06
  6. Step 6: Final answer
    x = 207,723.04

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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.