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Finding the Fourth Proportional to 616,546.40, 924,916.80 and 195,864.80

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Solution

The fourth proportional to 616,546.40, 924,916.80 and 195,864.80 is: 293,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,546.40 : 924,916.80 = 195,864.80 : x
  2. Step 2: Convert to fraction form
    616,546.40/924,916.80 = 195,864.80/x
  3. Step 3: Cross multiply
    616,546.40x = 924,916.80 × 195,864.80
  4. Step 4: Simplify right side
    616,546.40x = 181,158,644,048.64
  5. Step 5: Solve for x
    x = 181,158,644,048.64/616,546.40
  6. Step 6: Final answer
    x = 293,828.08

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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.