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Finding the Fourth Proportional to 354,326.46, 531,209.04 and 176,742.06

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Solution

The fourth proportional to 354,326.46, 531,209.04 and 176,742.06 is: 264,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,326.46 : 531,209.04 = 176,742.06 : x
  2. Step 2: Convert to fraction form
    354,326.46/531,209.04 = 176,742.06/x
  3. Step 3: Cross multiply
    354,326.46x = 531,209.04 × 176,742.06
  4. Step 4: Simplify right side
    354,326.46x = 93,886,980,020.22
  5. Step 5: Solve for x
    x = 93,886,980,020.22/354,326.46
  6. Step 6: Final answer
    x = 264,973.10

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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.