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Finding the Fourth Proportional to 614,547.42, 921,956.46 and 188,086.50

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Solution

The fourth proportional to 614,547.42, 921,956.46 and 188,086.50 is: 282,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,547.42 : 921,956.46 = 188,086.50 : x
  2. Step 2: Convert to fraction form
    614,547.42/921,956.46 = 188,086.50/x
  3. Step 3: Cross multiply
    614,547.42x = 921,956.46 × 188,086.50
  4. Step 4: Simplify right side
    614,547.42x = 173,407,563,713.79
  5. Step 5: Solve for x
    x = 173,407,563,713.79/614,547.42
  6. Step 6: Final answer
    x = 282,171.17

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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.