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Finding the Fourth Proportional to 374,430.80, 561,646.20 and 232,713.20

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Solution

The fourth proportional to 374,430.80, 561,646.20 and 232,713.20 is: 349,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,430.80 : 561,646.20 = 232,713.20 : x
  2. Step 2: Convert to fraction form
    374,430.80/561,646.20 = 232,713.20/x
  3. Step 3: Cross multiply
    374,430.80x = 561,646.20 × 232,713.20
  4. Step 4: Simplify right side
    374,430.80x = 130,702,484,469.84
  5. Step 5: Solve for x
    x = 130,702,484,469.84/374,430.80
  6. Step 6: Final answer
    x = 349,069.80

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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.