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Finding the Fourth Proportional to 470,810.34, 706,115.88 and 155,192.22

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Solution

The fourth proportional to 470,810.34, 706,115.88 and 155,192.22 is: 232,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,810.34 : 706,115.88 = 155,192.22 : x
  2. Step 2: Convert to fraction form
    470,810.34/706,115.88 = 155,192.22/x
  3. Step 3: Cross multiply
    470,810.34x = 706,115.88 × 155,192.22
  4. Step 4: Simplify right side
    470,810.34x = 109,583,690,994.45
  5. Step 5: Solve for x
    x = 109,583,690,994.45/470,810.34
  6. Step 6: Final answer
    x = 232,755.49

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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.