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Finding the Fourth Proportional to 357,686.24, 493,619.13 and 196,547.07

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Solution

The fourth proportional to 357,686.24, 493,619.13 and 196,547.07 is: 271,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,686.24 : 493,619.13 = 196,547.07 : x
  2. Step 2: Convert to fraction form
    357,686.24/493,619.13 = 196,547.07/x
  3. Step 3: Cross multiply
    357,686.24x = 493,619.13 × 196,547.07
  4. Step 4: Simplify right side
    357,686.24x = 97,019,393,697.45
  5. Step 5: Solve for x
    x = 97,019,393,697.45/357,686.24
  6. Step 6: Final answer
    x = 271,241.62

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1.5x scale

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.