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Finding the Fourth Proportional to 470,356.64, 705,632.16 and 154,832.48

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Solution

The fourth proportional to 470,356.64, 705,632.16 and 154,832.48 is: 232,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,356.64 : 705,632.16 = 154,832.48 : x
  2. Step 2: Convert to fraction form
    470,356.64/705,632.16 = 154,832.48/x
  3. Step 3: Cross multiply
    470,356.64x = 705,632.16 × 154,832.48
  4. Step 4: Simplify right side
    470,356.64x = 109,254,777,300.56
  5. Step 5: Solve for x
    x = 109,254,777,300.56/470,356.64
  6. Step 6: Final answer
    x = 232,280.72

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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.