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Finding the Fourth Proportional to 601,908.10, 830,667.06 and 357,038.07

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Solution

The fourth proportional to 601,908.10, 830,667.06 and 357,038.07 is: 492,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,908.10 : 830,667.06 = 357,038.07 : x
  2. Step 2: Convert to fraction form
    601,908.10/830,667.06 = 357,038.07/x
  3. Step 3: Cross multiply
    601,908.10x = 830,667.06 × 357,038.07
  4. Step 4: Simplify right side
    601,908.10x = 296,579,763,914.97
  5. Step 5: Solve for x
    x = 296,579,763,914.97/601,908.10
  6. Step 6: Final answer
    x = 492,732.63

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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.