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Finding the Fourth Proportional to 349,903.83, 523,848.90 and 313,392.63

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Solution

The fourth proportional to 349,903.83, 523,848.90 and 313,392.63 is: 469,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.83 : 523,848.90 = 313,392.63 : x
  2. Step 2: Convert to fraction form
    349,903.83/523,848.90 = 313,392.63/x
  3. Step 3: Cross multiply
    349,903.83x = 523,848.90 × 313,392.63
  4. Step 4: Simplify right side
    349,903.83x = 164,170,384,686.61
  5. Step 5: Solve for x
    x = 164,170,384,686.61/349,903.83
  6. Step 6: Final answer
    x = 469,187.17

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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.