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Finding the Fourth Proportional to 470,356.98, 705,535.47 and 204,111.60

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Solution

The fourth proportional to 470,356.98, 705,535.47 and 204,111.60 is: 306,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,356.98 : 705,535.47 = 204,111.60 : x
  2. Step 2: Convert to fraction form
    470,356.98/705,535.47 = 204,111.60/x
  3. Step 3: Cross multiply
    470,356.98x = 705,535.47 × 204,111.60
  4. Step 4: Simplify right side
    470,356.98x = 144,007,973,638.45
  5. Step 5: Solve for x
    x = 144,007,973,638.45/470,356.98
  6. Step 6: Final answer
    x = 306,167.40

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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.