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Finding the Fourth Proportional to 409,853.10, 614,779.65 and 232,706.10

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Solution

The fourth proportional to 409,853.10, 614,779.65 and 232,706.10 is: 349,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.10 : 614,779.65 = 232,706.10 : x
  2. Step 2: Convert to fraction form
    409,853.10/614,779.65 = 232,706.10/x
  3. Step 3: Cross multiply
    409,853.10x = 614,779.65 × 232,706.10
  4. Step 4: Simplify right side
    409,853.10x = 143,062,974,710.87
  5. Step 5: Solve for x
    x = 143,062,974,710.87/409,853.10
  6. Step 6: Final answer
    x = 349,059.15

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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.