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Finding the Fourth Proportional to 357,392.51, 493,210.27 and 194,055.95

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Solution

The fourth proportional to 357,392.51, 493,210.27 and 194,055.95 is: 267,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,392.51 : 493,210.27 = 194,055.95 : x
  2. Step 2: Convert to fraction form
    357,392.51/493,210.27 = 194,055.95/x
  3. Step 3: Cross multiply
    357,392.51x = 493,210.27 × 194,055.95
  4. Step 4: Simplify right side
    357,392.51x = 95,710,389,894.97
  5. Step 5: Solve for x
    x = 95,710,389,894.97/357,392.51
  6. Step 6: Final answer
    x = 267,801.89

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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.