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Finding the Fourth Proportional to 470,967.70, 706,451.55 and 411,918.70

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Solution

The fourth proportional to 470,967.70, 706,451.55 and 411,918.70 is: 617,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,967.70 : 706,451.55 = 411,918.70 : x
  2. Step 2: Convert to fraction form
    470,967.70/706,451.55 = 411,918.70/x
  3. Step 3: Cross multiply
    470,967.70x = 706,451.55 × 411,918.70
  4. Step 4: Simplify right side
    470,967.70x = 291,000,604,088.99
  5. Step 5: Solve for x
    x = 291,000,604,088.99/470,967.70
  6. Step 6: Final answer
    x = 617,878.05

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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.