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Finding the Fourth Proportional to 601,516.32, 902,275.76 and 241,852.96

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Solution

The fourth proportional to 601,516.32, 902,275.76 and 241,852.96 is: 362,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,516.32 : 902,275.76 = 241,852.96 : x
  2. Step 2: Convert to fraction form
    601,516.32/902,275.76 = 241,852.96/x
  3. Step 3: Cross multiply
    601,516.32x = 902,275.76 × 241,852.96
  4. Step 4: Simplify right side
    601,516.32x = 218,218,063,292.25
  5. Step 5: Solve for x
    x = 218,218,063,292.25/601,516.32
  6. Step 6: Final answer
    x = 362,779.95

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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.