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Finding the Fourth Proportional to 470,451.90, 704,988.90 and 233,320.98

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Solution

The fourth proportional to 470,451.90, 704,988.90 and 233,320.98 is: 349,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,451.90 : 704,988.90 = 233,320.98 : x
  2. Step 2: Convert to fraction form
    470,451.90/704,988.90 = 233,320.98/x
  3. Step 3: Cross multiply
    470,451.90x = 704,988.90 × 233,320.98
  4. Step 4: Simplify right side
    470,451.90x = 164,488,701,037.12
  5. Step 5: Solve for x
    x = 164,488,701,037.12/470,451.90
  6. Step 6: Final answer
    x = 349,639.78

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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.