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Finding the Fourth Proportional to 357,686.74, 493,619.82 and 196,547.57

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Solution

The fourth proportional to 357,686.74, 493,619.82 and 196,547.57 is: 271,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,686.74 : 493,619.82 = 196,547.57 : x
  2. Step 2: Convert to fraction form
    357,686.74/493,619.82 = 196,547.57/x
  3. Step 3: Cross multiply
    357,686.74x = 493,619.82 × 196,547.57
  4. Step 4: Simplify right side
    357,686.74x = 97,019,776,124.84
  5. Step 5: Solve for x
    x = 97,019,776,124.84/357,686.74
  6. Step 6: Final answer
    x = 271,242.31

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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.