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Finding the Fourth Proportional to 341,204.64, 470,618.64 and 295,801.44

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Solution

The fourth proportional to 341,204.64, 470,618.64 and 295,801.44 is: 407,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,204.64 : 470,618.64 = 295,801.44 : x
  2. Step 2: Convert to fraction form
    341,204.64/470,618.64 = 295,801.44/x
  3. Step 3: Cross multiply
    341,204.64x = 470,618.64 × 295,801.44
  4. Step 4: Simplify right side
    341,204.64x = 139,209,671,402.84
  5. Step 5: Solve for x
    x = 139,209,671,402.84/341,204.64
  6. Step 6: Final answer
    x = 407,994.66

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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.