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Finding the Fourth Proportional to 413,271.32, 619,315.07 and 235,411.11

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Solution

The fourth proportional to 413,271.32, 619,315.07 and 235,411.11 is: 352,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,271.32 : 619,315.07 = 235,411.11 : x
  2. Step 2: Convert to fraction form
    413,271.32/619,315.07 = 235,411.11/x
  3. Step 3: Cross multiply
    413,271.32x = 619,315.07 × 235,411.11
  4. Step 4: Simplify right side
    413,271.32x = 145,793,646,891.37
  5. Step 5: Solve for x
    x = 145,793,646,891.37/413,271.32
  6. Step 6: Final answer
    x = 352,779.50

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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.