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Finding the Fourth Proportional to 261,409.80, 392,114.70 and 232,869.45

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Solution

The fourth proportional to 261,409.80, 392,114.70 and 232,869.45 is: 349,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,409.80 : 392,114.70 = 232,869.45 : x
  2. Step 2: Convert to fraction form
    261,409.80/392,114.70 = 232,869.45/x
  3. Step 3: Cross multiply
    261,409.80x = 392,114.70 × 232,869.45
  4. Step 4: Simplify right side
    261,409.80x = 91,311,534,525.92
  5. Step 5: Solve for x
    x = 91,311,534,525.92/261,409.80
  6. Step 6: Final answer
    x = 349,304.18

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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.