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Finding the Fourth Proportional to 616,041.78, 850,135.47 and 357,956.34

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Solution

The fourth proportional to 616,041.78, 850,135.47 and 357,956.34 is: 493,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,041.78 : 850,135.47 = 357,956.34 : x
  2. Step 2: Convert to fraction form
    616,041.78/850,135.47 = 357,956.34/x
  3. Step 3: Cross multiply
    616,041.78x = 850,135.47 × 357,956.34
  4. Step 4: Simplify right side
    616,041.78x = 304,311,381,345.38
  5. Step 5: Solve for x
    x = 304,311,381,345.38/616,041.78
  6. Step 6: Final answer
    x = 493,978.48

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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.