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Finding the Fourth Proportional to 470,805.90, 706,208.85 and 155,246.10

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Solution

The fourth proportional to 470,805.90, 706,208.85 and 155,246.10 is: 232,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,805.90 : 706,208.85 = 155,246.10 : x
  2. Step 2: Convert to fraction form
    470,805.90/706,208.85 = 155,246.10/x
  3. Step 3: Cross multiply
    470,805.90x = 706,208.85 × 155,246.10
  4. Step 4: Simplify right side
    470,805.90x = 109,636,169,747.99
  5. Step 5: Solve for x
    x = 109,636,169,747.99/470,805.90
  6. Step 6: Final answer
    x = 232,869.15

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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.