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Finding the Fourth Proportional to 470,346.40, 704,828.40 and 189,373.60

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Solution

The fourth proportional to 470,346.40, 704,828.40 and 189,373.60 is: 283,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,346.40 : 704,828.40 = 189,373.60 : x
  2. Step 2: Convert to fraction form
    470,346.40/704,828.40 = 189,373.60/x
  3. Step 3: Cross multiply
    470,346.40x = 704,828.40 × 189,373.60
  4. Step 4: Simplify right side
    470,346.40x = 133,475,891,490.24
  5. Step 5: Solve for x
    x = 133,475,891,490.24/470,346.40
  6. Step 6: Final answer
    x = 283,782.11

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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.