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Finding the Fourth Proportional to 470,004.10, 705,006.15 and 154,384.90

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Solution

The fourth proportional to 470,004.10, 705,006.15 and 154,384.90 is: 231,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,004.10 : 705,006.15 = 154,384.90 : x
  2. Step 2: Convert to fraction form
    470,004.10/705,006.15 = 154,384.90/x
  3. Step 3: Cross multiply
    470,004.10x = 705,006.15 × 154,384.90
  4. Step 4: Simplify right side
    470,004.10x = 108,842,303,967.14
  5. Step 5: Solve for x
    x = 108,842,303,967.14/470,004.10
  6. Step 6: Final answer
    x = 231,577.35

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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.