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Finding the Fourth Proportional to 902,053, 1,353,159.42 and 237,205

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Solution

The fourth proportional to 902,053, 1,353,159.42 and 237,205 is: 355,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,053 : 1,353,159.42 = 237,205 : x
  2. Step 2: Convert to fraction form
    902,053/1,353,159.42 = 237,205/x
  3. Step 3: Cross multiply
    902,053x = 1,353,159.42 × 237,205
  4. Step 4: Simplify right side
    902,053x = 320,976,180,221.10
  5. Step 5: Solve for x
    x = 320,976,180,221.10/902,053
  6. Step 6: Final answer
    x = 355,828.52

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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.