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Finding the Fourth Proportional to 616,005.20, 924,079.80 and 195,323.60

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Solution

The fourth proportional to 616,005.20, 924,079.80 and 195,323.60 is: 293,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,005.20 : 924,079.80 = 195,323.60 : x
  2. Step 2: Convert to fraction form
    616,005.20/924,079.80 = 195,323.60/x
  3. Step 3: Cross multiply
    616,005.20x = 924,079.80 × 195,323.60
  4. Step 4: Simplify right side
    616,005.20x = 180,494,593,223.28
  5. Step 5: Solve for x
    x = 180,494,593,223.28/616,005.20
  6. Step 6: Final answer
    x = 293,008.23

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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.