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Finding the Fourth Proportional to 305,547.84, 458,343.84 and 127,876.08

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Solution

The fourth proportional to 305,547.84, 458,343.84 and 127,876.08 is: 191,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,547.84 : 458,343.84 = 127,876.08 : x
  2. Step 2: Convert to fraction form
    305,547.84/458,343.84 = 127,876.08/x
  3. Step 3: Cross multiply
    305,547.84x = 458,343.84 × 127,876.08
  4. Step 4: Simplify right side
    305,547.84x = 58,611,213,551.35
  5. Step 5: Solve for x
    x = 58,611,213,551.35/305,547.84
  6. Step 6: Final answer
    x = 191,823.36

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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.