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Finding the Fourth Proportional to 357,214.72, 492,980.94 and 236,146.04

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Solution

The fourth proportional to 357,214.72, 492,980.94 and 236,146.04 is: 325,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,214.72 : 492,980.94 = 236,146.04 : x
  2. Step 2: Convert to fraction form
    357,214.72/492,980.94 = 236,146.04/x
  3. Step 3: Cross multiply
    357,214.72x = 492,980.94 × 236,146.04
  4. Step 4: Simplify right side
    357,214.72x = 116,415,496,776.48
  5. Step 5: Solve for x
    x = 116,415,496,776.48/357,214.72
  6. Step 6: Final answer
    x = 325,897.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.