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Finding the Fourth Proportional to 616,244.78, 923,776.65 and 260,769.80

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Solution

The fourth proportional to 616,244.78, 923,776.65 and 260,769.80 is: 390,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,244.78 : 923,776.65 = 260,769.80 : x
  2. Step 2: Convert to fraction form
    616,244.78/923,776.65 = 260,769.80/x
  3. Step 3: Cross multiply
    616,244.78x = 923,776.65 × 260,769.80
  4. Step 4: Simplify right side
    616,244.78x = 240,893,047,646.29
  5. Step 5: Solve for x
    x = 240,893,047,646.29/616,244.78
  6. Step 6: Final answer
    x = 390,904.81

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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.