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Finding the Fourth Proportional to 470,363.32, 649,106.22 and 255,507.64

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Solution

The fourth proportional to 470,363.32, 649,106.22 and 255,507.64 is: 352,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,363.32 : 649,106.22 = 255,507.64 : x
  2. Step 2: Convert to fraction form
    470,363.32/649,106.22 = 255,507.64/x
  3. Step 3: Cross multiply
    470,363.32x = 649,106.22 × 255,507.64
  4. Step 4: Simplify right side
    470,363.32x = 165,851,598,381.52
  5. Step 5: Solve for x
    x = 165,851,598,381.52/470,363.32
  6. Step 6: Final answer
    x = 352,603.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.